+ vectors and matrices test review 1 token= 2 hw points 5 tokens= 2 test points 3 tokens= 1 quiz...

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+ Vectors and Matrices Test Review 1 Token= 2 HW points 5 Tokens= 2 test Points 3 Tokens= 1 Quiz point 8 Tokens= 2 Final Points

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Vectors and Matrices Test Review

1 Token=2 HW points

5 Tokens= 2 test Points

3 Tokens=1 Quiz point

8 Tokens= 2 Final Points

+ Find the component form of a vector with initial point ( 2, 7) and terminal point (-4, -6).

***It may help to draw a picture

+Find the magnitude for the vector <-9, -40>.

+Find the argument for the vector <6,8 >.

+Fill in the blank:

A Matrix is called _________ if it does not have an inverse

+Use following matrices to performAxD

+Find the argument for the vector <-2,9 >.

+Sketch <3, 2> +<1,4>

+Use an inverse matrix to solve the linear system

+Sketch a-b

a b

+Find the determinant of

+Sketch <1,4> - <2, 5>

+Use following matrices to perform 2B+D

+What results if a matrix A is multiplied by the zero matrix?

+Find the inverse of

+What results if I multiply a Matrix A by the Identity Matrix? 

+Find the determinant of

+What is the identity matrix of size 3?

+Use an inverse matrix to solve the linear system

+If A is a 2x3 matrix and B is a 3x4 matrix, how many columns are in AxB?

+Does the commutative property hold true for Matrix addition?

+Use the following vectors to perform c+a

a=<-3, 1> b=<4, 5>c=<-2,-6>

+

+Use the following vectors to perform a-2b

a=<-3, 1> b=<4, 5>c=<-2,-6>

+Use following matrices to perform -2A

+ Find the component form of a vector with initial point ( -5, 5) and terminal point (1, 0).

***It may help to draw a picture

+Sketch 2<1, 3>

+Use the following vectors to perform 3c+2b

a=<-3, 1> b=<4, 5>c=<-2,-6>

+Use following matrices to perform D-B

+A speedboat is driving 62 miles per hour at 32 degrees Northwest. The current is flowing 12 miles per hour directly North. Find the resultant direction and resultant velocity of the boat.

2 point question!

+Find the inverse of

+Use following matrices to performCxD

+Sketch <-3,2> - <-1, -3>

+A plane is flying 600 miles per hour at 45 degrees Southeast. The wind is blowing 70 miles per hour directly East. Find the resultant direction and resultant velocity of the boat.

2 point question!

+Use the following vectors to perform -3b

a=<-3, 1> b=<4, 5>c=<-2,-6>

+Does the commutative property hold true for Matrix Multiplication? 

+Use following matrices to performDxA

+Fill in the blank with always, sometimes, or never:

Does a square matrix ___________have an inverse?

+Find the argument for the vector <-3,-1 >.

+ Find the component form of a vector with initial point ( 5, -4) and terminal point (-1, 3).

***It may help to draw a picture

+Find the determinant of

+Sketch <-1, 3> +<-2,-3>

+Sketch a+b

a b

+Find the determinant of

+Fill in the blank:

If the determinant of a matrix is _______, then the matrix is singular

+Sketch 2b-a

a b

+Use an inverse matrix to solve the linear system

+Find the argument for the vector <2,-4 >.

+Find the inverse of

+Fill in the blank:

A matrix times its inverse results in ______________

+Use following matrices to performCxB

+Use following matrices to perform A+B

+Find the magnitude for the vector <7,24 >.

+Find the inverse of

+Use following matrices to performAxB

+Find the magnitude for the vector <-6,3 >.