##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

Print Test (Only the test content will print)

## Understanding Matrices

1.
State the dimensions of matrix $F$ if $F=[[0,1,0],[2,-4,2],[4,-8,4],[8,-16,8]]$ .
1. $16xx8$
2. $2xx2xx3$
3. $4xx3$
4. $3xx4$
2.
Write a matrix with 2 rows and 5 columns.

3.
Element $"V"_{3,2}$ in Matrix V shown below is                .

$V=[[12,7,21,31,11],[45,-2,14,27,19],[-3,15,36,71,26],[4,-13,55,34,15]]$
1. 15
2. 14
3. -2
4. 36
4.
The 5x5 identity matrix of looks like
1. $[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]$
2. $[[0,0,0,0,1],[0,0,0,1,0],[0,0,1,0,0],[0,1,0,0,0],[1,0,0,0,0]]$
3. $[[0,0,1,0,0],[0,0,1,0,0],[1,1,1,1,1],[0,0,1,0,0],[0,0,1,0,0]]$
4. A and B
5.
If the matrix $[[6,8,9],[1,0,2],[3,6,2]]$ is multiplied by the scalar 3, what is the result?
1. $[[9,11,12],[4,3,5],[8,9,5]]$
2. $[[18,24,27],[3,0,6],[9,18,6]]$
3. $[[3,5,6],[-2,-3,-1],[0,3,-1]]$
4. $[[9,8,6],[2,0,1],[2,6,3]]$
6.
What is the rule for matrix addition and subtraction?
1. The number of columns of the first matrix must equal the number of rows of the second matrix.
2. The matrices must have the same dimensions.
3. The matrices must have the same number of rows, but not columns.
4. There is no rule. Matrix addition and subtraction is always possible.
7.
What is the rule for matrix multiplication?
1. The number of columns of the first matrix must equal the number of rows of the second matrix.
2. The matrices must have the same dimensions.
3. The matrices must have the same number of rows, but not columns.
4. There is no rule. Matrix multiplication is always possible.
8.
A square matrix A is NOT invertible (does not have an inverse) if which of the following is true?
1. Matrix A is the identity matrix
2. $A_{1,1} < 0$
3. Matrix A has any elements equal to zero
4. $det(A) = 0$
9.
Matrix multiplication is commutative, e.g. for the $n xx n$ matrices $A and B, \ \ AB = BA$.
1. True
2. False
10.
Evaluate the determinant of $[[9, 5], [7, 4]]$.

You need to be a HelpTeaching.com member to access free printables.