example 1 matrix solution of linear systems chapter 7.2 use matrix row operations to solve the...
TRANSCRIPT
![Page 1: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/1.jpg)
example 1 Matrix Solution of Linear Systems
Chapter 7.2
Use matrix row operations to solve the system of equations
2 3 1
2 3
3 9
x y z
x y z
x y z
2009 PBLPathways
![Page 2: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/2.jpg)
2009 PBLPathways
Use matrix row operations to solve the system of equations
2 3 1
2 3
3 9
x y z
x y z
x y z
![Page 3: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/3.jpg)
2009 PBLPathways
Use matrix row operations to solve the system of equations
2 3 1
2 3
3 9
x y z
x y z
x y z
2 3
2 3 1
3 9
x y z
x y z
x y z
R1 R2
2 3 1 1
1 1 2 3
3 1 1 9
1 1 2 3
2 3 1 1
3 1 1 9
![Page 4: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/4.jpg)
2009 PBLPathways
Use matrix row operations to solve the system of equations
2 3 1
2 3
3 9
x y z
x y z
x y z
2 3
2 3 1
3 9
x y z
x y z
x y z
R1 R2
2 3 1 1
1 1 2 3
3 1 1 9
1 1 2 3
2 3 1 1
3 1 1 9
![Page 5: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/5.jpg)
2009 PBLPathways
Use matrix row operations to solve the system of equations
2 3 1
2 3
3 9
x y z
x y z
x y z
2 3
2 3 1
3 9
x y z
x y z
x y z
R1 R2
2 3 1 1
1 1 2 3
3 1 1 9
1 1 2 3
2 3 1 1
3 1 1 9
![Page 6: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/6.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
2 2 4 6
2 3 1 1
0 1 3 5
![Page 7: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/7.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
2 2 4 6
2 3 1 1
0 1 3 5
![Page 8: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/8.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
2 2 4 6
2 3 1 1
0 1 3 5
![Page 9: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/9.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 10: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/10.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 11: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/11.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 12: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/12.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 13: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/13.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 14: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/14.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 15: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/15.jpg)
2009 PBLPathways
2 3
3 5
4 7 18
x y z
y z
y z
-1 R2 R2 1 1 2 3
0 1 3 5
0 4 7 18
-2 R1 + R2 R2-3 R1 + R3 R3
2 3
3 5
4 7 18
x y z
y z
y z
1 1 2 3
0 1 3 5
0 4 7 18
1 1 2 3
2 3 1 1
3 1 1 9
3 3 6 9
3 1 1 9
0 4 7 18
![Page 16: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/16.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 17: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/17.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 18: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/18.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 19: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/19.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 20: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/20.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 21: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/21.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 22: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/22.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 23: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/23.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 24: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/24.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 25: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/25.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 26: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/26.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38
![Page 27: Example 1 Matrix Solution of Linear Systems Chapter 7.2 Use matrix row operations to solve the system of equations 2009 PBLPathways](https://reader030.vdocuments.net/reader030/viewer/2022032701/56649c785503460f9492d35f/html5/thumbnails/27.jpg)
2009 PBLPathways
2 3
3 5
19 38
x y z
y z
z
-4 R2 + R3 R3
2 3
3 5
2
x y z
y z
z
R3 R3119
1 1 2 3
0 1 3 5
0 0 19 38
1 1 2 3
0 1 3 5
0 0 1 2
1 1 2 3
0 1 3 5
0 4 7 18
0 4 12 20
0 4 7 18
0 0 19 38