Free Printable Matrices

1.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

2.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

3.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

4.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

5.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

6.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

7.

You can multiply a 2x3 matrix by which matrix?

a)

2x2

b)

9x3

c)

3x12

d)

2x3

8.

Multiply

a)

1 2
6 -8

b)

-3 -5
-5 -11

c)

-2 8
-6 -12

d)

2 -3
5 -2

9.

This is an example of a

a)

System of Quadratic Equations

b)

Reduced Row Echelon Form

c)

Augmented Matrix

d)

A Canine Doing a Backflip

10.

This is an example of

a)

Row Echelon Form

b)

Reduced Row Echelon Form

c)

Really Reduced Echelon Form

d)

Really Really Easy Form

11.

Jeffrey wrote a matrix to represent his system of equations. What was his mistake

a)

The z's are not aligned correctly

b)

There should be a one in the top row for zero

c)

There should be a zero in the second column of the third representing the y

d)

Nothing. This is correct.

12.

TRUE or FALSE?

The system represented by the matrix has infinitely many solutions.

a)

TRUE

b)

FALSE

13.

The matrix represents a system of equations that has...

a)

infinitely many solutions

b)

one solution: (-10, -3, 1)

c)

no solution

d)

none of the above

14.

The matrix is in row echelon form.

If $z=t$ , find $y$ .

a)

$\frac{4-3t}{2}$

b)

$4+3t$

c)

$4-3t$

d)

$\frac{4+3t}{2}$

15.

The matrix is in row echelon form.
If $\left(x,y,z\right)$ is the solution to the system represented by the matrix, which of the following is true?

a)

$x=-3$

b)

$y=-39$

c)

$z=5$

d)

$x=-16$

16.

Given the matrix (that is in row echelon form), solve the system.

a)

$\left(-1,8,5\right)$

b)

$\left(-11,13,-1\right)$

c)

$\left(1,\ 3,-1\right)$

d)

no solution

17.

Evaluate the det (B).

a)

7

b)

-7

c)

23

d)

-23

18.

Find the value of det (D).

a)

15

b)

5

c)

0

d)

-5

19.

Find the value of det (I).

a)

18

b)

-18

c)

-8

d)

8

20.

a)

5 -2
-3 1

b)

-5 2
3 -1

c)

-5 3
2 -1

d)

1 -3
-2 5

Matrices

Total questions: 20

Worksheet time: 1hrs 1mins

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