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Worksheets

Matrix Test Review

Total questions: 30

Worksheet time: 3hrs 32mins

Name
Class
Date
1.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

2.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

3.

Perform the indicated operation

a)
b)
c)
d)
e)

not possible

4.

How would a scalar multiplication be carried out for a matrix?

a)

Add the Scalar to every element in the matrix

b)

Dot product the rows of one matrix with the columns of the other matrix

c)

Multiply every element with the scalar to create a new matrix

d)

subtract the elements in the first matrix from the elements of the second matrix

5.
a)
b)
c)
d)
6.

You can add a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

7.

Find A+B

a)

8     10
8      1 

b)

12     25
7     1

c)

10     30
0     1

d)

can't add two together because the rows dont match columns

8.

What do m, n, p and q equal in this scalar matrix multiplication?

a)

m=8, n=9, p=-4, q=4 

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

9.

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

10.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

11.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

12.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

13.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

14.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

15.

Find the determinant of the matrix:

a)

4

b)

16

c)

-16

d)

-4

16.

Find the inverse of the matrix below:

a)

b)

c)

d)

17.

Find the determinant of the matrix:

a)

3

b)

9

c)

-3

d)

-9

18.

Find the inverse of the matrix:

a)
b)
c)
d)
19.

Find the determinant of the given matrix?

a)

5

b)

-5

c)

0

d)

-75

20.
What is the inverse of this matrix?
a)
(1/25)  (-4/25)
(3/25)  (13/25)
b)
(1/5)  (-4/5)
(3/5)  (13/5)
c)
(6/25)  (-2/25)
(2/25)  (9/25)
d)
(1/150)  (-4/150)
(3/150)  (13/150)
21.

Which of the following are NOT inverse matrices of each other?

a)
b)
c)
d)
22.

What is A-1?

a)
b)
c)
d)
23.
Which of the following has a determinant of 0?
*det= ad-bc
a)
⌈1  0⌉
⌊2  3⌋
b)
⌈-4  -2⌉
⌊6   3⌋
24.

Choose the correct matrix form for


5k - 6j = 10

-7k + j = 8

a)
b)
c)
d)
25.

Write these following into Matrix Form


p + q = 7

p - 3q = - 4

a)
b)
c)
d)
26.

Find value of r and s

a)

r = 1/3 and s = 1/4

b)

r = 1/2 and s = 1/3

c)

r = 1/3 and s = 1/2

d)

r = 1/2 and s = 1/3

27.

Solve the following system of equations.

-5x + 5y = -10

-7x + 4y = 13

a)

(-7, -5)

b)

(-7, -9)

c)

(7, -9)

d)

(-7, 5)

28.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. How many of each type of ticket were sold?
a)
10 adults, 11 children
b)
12 adults , 9 children
c)
11 adults, 10 children
d)
9 adults, 12 children
29.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  How many nickels and dimes did Dennis earn? 
a)
40 nickels, 40 dimes
b)
52 nickels, 28 dimes
c)
28 nickels, 52 dimes
d)
30 nickels, 50 dimes
30.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. 
a)
35 nachos, 52 sodas
b)
18 nachos, 69 sodas
c)
52 nachos, 35 sodas
d)
61 nachos, 26 sodas