ch06-3 linear systems of equations, matrix...

div class=ts-pagebutton class=gotoPage data-page=1Page 1button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=1 data-page=1 class=ts-thumb lazyload alt=Page 1: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails1jpg width=140 height=200 divpCh06-3 Linear Systems of Equations Matrix Factorizationp pDr Feras Fraigepdivdiv class=ts-pagebutton class=gotoPage data-page=2Page 2button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=2 data-page=2 class=ts-thumb lazyload alt=Page 2: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails2jpg width=140 height=200 divpOutlinep p1 Computation Cost Rationale Basic Solution Strategyp p2 Constructing the Matrix Factorization 3 Example: LU Factorization of a 4 × 4 Matrix 4 The LU Factorization Algorithm 5 Permutation Matrices for Row Interchangespdivdiv class=ts-pagebutton class=gotoPage data-page=3Page 3button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=3 data-page=3 class=ts-thumb lazyload alt=Page 3: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails3jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=4Page 4button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=4 data-page=4 class=ts-thumb lazyload alt=Page 4: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails4jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=5Page 5button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=5 data-page=5 class=ts-thumb lazyload alt=Page 5: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails5jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=6Page 6button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=6 data-page=6 class=ts-thumb lazyload alt=Page 6: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails6jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=7Page 7button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=7 data-page=7 class=ts-thumb lazyload alt=Page 7: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails7jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=8Page 8button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=8 data-page=8 class=ts-thumb lazyload alt=Page 8: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails8jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=9Page 9button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=9 data-page=9 class=ts-thumb lazyload alt=Page 9: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails9jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=10Page 10button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=10 data-page=10 class=ts-thumb lazyload alt=Page 10: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails10jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=11Page 11button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=11 data-page=11 class=ts-thumb lazyload alt=Page 11: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails11jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=12Page 12button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=12 data-page=12 class=ts-thumb lazyload alt=Page 12: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails12jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=13Page 13button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=13 data-page=13 class=ts-thumb lazyload alt=Page 13: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails13jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=14Page 14button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=14 data-page=14 class=ts-thumb lazyload alt=Page 14: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails14jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=15Page 15button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=15 data-page=15 class=ts-thumb lazyload alt=Page 15: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails15jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=16Page 16button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=16 data-page=16 class=ts-thumb lazyload alt=Page 16: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails16jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=17Page 17button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=17 data-page=17 class=ts-thumb lazyload alt=Page 17: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails17jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=18Page 18button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=18 data-page=18 class=ts-thumb lazyload alt=Page 18: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails18jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=19Page 19button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=19 data-page=19 class=ts-thumb lazyload alt=Page 19: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails19jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=20Page 20button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=20 data-page=20 class=ts-thumb lazyload alt=Page 20: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails20jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=21Page 21button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=21 data-page=21 class=ts-thumb lazyload alt=Page 21: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails21jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=22Page 22button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=22 data-page=22 class=ts-thumb lazyload alt=Page 22: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails22jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=23Page 23button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=23 data-page=23 class=ts-thumb lazyload alt=Page 23: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails23jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=24Page 24button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=24 data-page=24 class=ts-thumb lazyload alt=Page 24: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails24jpg width=140 height=200 divpDiscuss algorithmpdivdiv class=ts-pagebutton class=gotoPage data-page=25Page 25button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=25 data-page=25 class=ts-thumb lazyload alt=Page 25: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails25jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=26Page 26button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=26 data-page=26 class=ts-thumb lazyload alt=Page 26: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails26jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=27Page 27button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=27 data-page=27 class=ts-thumb lazyload alt=Page 27: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails27jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=28Page 28button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=28 data-page=28 class=ts-thumb lazyload alt=Page 28: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails28jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=29Page 29button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=29 data-page=29 class=ts-thumb lazyload alt=Page 29: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails29jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=30Page 30button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=30 data-page=30 class=ts-thumb lazyload alt=Page 30: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails30jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=31Page 31button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=31 data-page=31 class=ts-thumb lazyload alt=Page 31: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails31jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=32Page 32button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=32 data-page=32 class=ts-thumb lazyload alt=Page 32: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails32jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=33Page 33button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=33 data-page=33 class=ts-thumb lazyload alt=Page 33: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails33jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=34Page 34button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=34 data-page=34 class=ts-thumb lazyload alt=Page 34: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails34jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=35Page 35button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=35 data-page=35 class=ts-thumb lazyload alt=Page 35: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails35jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=36Page 36button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=36 data-page=36 class=ts-thumb lazyload alt=Page 36: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails36jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=37Page 37button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=37 data-page=37 class=ts-thumb lazyload alt=Page 37: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails37jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=38Page 38button div class=ts-imageimg data-url=ch06-3-linear-systems-of-equations-matrix-part-b-solution-23-first-solvehtmlpage=38 data-page=38 class=ts-thumb lazyload alt=Page 38: Ch06-3 Linear Systems of Equations Matrix Factorizationfacksuedusasitesdefaultfilesch06-3_matrixPart b Solution 23 First solve Ly = b where y — 0 1 Ly _ 4 3 Ux loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader035vdocumentsnetreader035viewer20220716076144189e4e4ff93b1f58d465html5thumbnails38jpg width=140 height=200 divdiv

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