Free Printable MATRICES

1.

Matrix is _______________________

a)

a rectangular array of elements

b)

that appear in rows and columns

c)

and are not enclosed by brackets

d)

and are usually enclosed by brackets

2.

The type of matrix is ____

a)

column matrix

b)

identity matrix

c)

zero matrix

d)

row matrix

3.

Column matrix is a matrix with 1 (a)

4.

The order of a matrix is $a_{mn}$ , what is m and n?

a)

m is the number of its rows

b)

m is the number of its columns

c)

n is the number of its rows

d)

n is the number of its columns

5.

$b_{23}$ the answer is ____.

a)

-2

b)

3

c)

4

d)

-5

6.

$b_{12}$ the answer is ____.

a)

-2

b)

3

c)

4

d)

-5

7.

det is refer to (a)

8.

Calculate the matrix determinant.

a)

$2\times3-1\times4$

b)

$1\times4-2\times3$

c)

$2\times1+3\times4$

d)

$1\times4+2\times3$

9.

The determinant is ____

a)

$2\times6+5\times3$

b)

$2\times6-5\times3$

c)

$5\times3-2\times6$

d)

$5\times3+2\times6$

10.

can be written in matrix form as ____.

a)

b)

11.

a)

2

b)

7

c)

4

d)

-3

12.

a)

-5

b)

5

c)

0

d)

2

13.

a)

2x3

b)

3x2

c)

3x4

d)

4x3

14.

What is a₂₃

a)

14

b)

4

c)

1

d)

3

15.

Which sums can NOT be made from the following matrices ?

a)

A+A

b)

A+C

c)

B+D

d)

C+C

16.

a)

b)

c)

d)

17.

Which of the following products can NOT be made from these matrices ?

a)

AB

b)

BA

c)

BC

d)

BD

18.

If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

a)

2

b)

3

c)

4

d)

AB is not defined

19.

BA=

a)

Undefined

b)

c)

d)

20.

What is the dimension of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

21.

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.

22.

What comes first in the dimension?

a)

Row

b)

Column

23.

a)

b)

undefined/not possible

c)

d)

24.

Matrices can be multiplied only...

a)

if the row of the first matrix is equal to the column of the second matrix.

b)

if the column of the first matrix is equal to the column of the second matrix.

c)

if the column of the first matrix is equal to the row of the second matrix.

d)

if the row of the first matrix is equal to the row of the second matrix.

25.

What would be the dimension of the matrix product AB?

If A_1X4and B_4X7

a)

1X7

b)

4X4

c)

4X7

d)

7X1

26.

a)

2x3

b)

3x2

c)

3x4

d)

4x3

27.

What is a₂₃

a)

14

b)

4

c)

1

d)

3

28.

Which sums can NOT be made from the following matrices ?

a)

A+A

b)

A+C

c)

B+D

d)

C+C

29.

a)

b)

c)

d)

30.

a)

b)

c)

d)

31.

What is the dimension of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

32.

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.

33.

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

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

34.

a)

b)

c)

d)

35.

a)

b)

undefined/not possible

c)

d)

36.

The matrix A - B is

a)

b)

c)

d)

37.

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

38.

What are the dimensions of this matrix?

a)

4x3

b)

3x4

c)

3

d)

4

39.

a)

b)

c)

d)

40.

a)

a

b)

b

c)

c

d)

d

41.

a)

A

b)

B

c)

C

d)

D

42.

a)

A

b)

B

c)

C

d)

D

43.

a)

A

b)

B

c)

C

d)

D

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

52.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

53.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

54.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

55.

In Matrix R (pictured) what element is a₂₃?

a)

8

b)

9.01

c)

6

d)

1

56.

What is the entry at f₄₂?

a)

23

b)

-81

c)

-44

d)

99

e)

-56

57.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

58.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

59.

Find A-B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

60.

Can the operation be performed?

a)

Yes

b)

No

c)

Sometimes

d)

only Ms. Jones knows

61.

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

62.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

63.

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

64.

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

65.

What comes first in the order?

a)

Row

b)

Column

66.

a)

b)

c)

d)

67.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

e)

3X2

68.

Which one comes first in the order of a matrix?

a)

Row

b)

Column

69.

What is the value of element M_3,4?

(Think about what is in the 3rd row and 4th column)

(a)

70.

Can the operation be performed and explain why?

4 lines

71.

Add

a)

11 8
-4 2

b)

3 2

-6 -6

c)

-3 2

-4 -6

d)

10 8

-6 2

72.

BA=

a)

Undefined

b)

c)

d)

73.

Find the product of the two matrices.

a)

undefined

b)

-3 16

17 12

8 -10

c)

3 12

-15 -8

-1 -3

74.

What is a Matrix?

a)

An equation of over 5 numbers or symbols

b)

A set of numbers in rows and columns

c)

A method of finding the n^th value of a series

d)

A complicated number system

75.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

76.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

77.

Find the inverse of the matrix

a)

A

b)

B

c)

C

d)

D

78.

When you multiply a matrix by the inverse matrix, you obtain the

a)

inverse matrix.

b)

transpose matrix.

c)

Identity matrix

d)

original matrix.

79.

Find the determinant of the matrix

a)

A

b)

B

c)

C

d)

D

80.

How do we label a matrix?

a)

Column x Row

b)

Row x Column

81.

What are the dimensions of Matrix P?

a)

3 x 4

b)

4 x 3

c)

3 x 3

d)

2 x 4

82.

What is element P23?

a)

10

b)

7

c)

8

d)

11

83.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

84.

Can the operation be performed?

a)

Yes

b)

No

c)

Sometimes

d)

only Mrs. Jordan knows

85.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions or order of the matrix must be equal.

c)

The determinant can't equal 0.

d)

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

86.

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

87.

What the numbers A11, A12 are called

a)

numbers of the matrix

b)

elements of the matrix.

c)

elements of matrix A.

d)

numbers and letters of the matrix

e)

all of the above

88.

Element a32 is belongs to which row and column in a given matrix A.

a)

2nd row, 3rd column

b)

3rd row , 2nd column

c)

can’t decide

d)

None of the above

89.

What is the order of given matrix

2 4 5 5 7

7 5 7 8 1

9 0 3 2 4

a)

5 × 3

b)

5 × 5

c)

3 × 5

d)

3 × 3

90.

Solve for the determinant of the following matrix:
⌈12 −3⌉
⌊−6 15⌋
*detA= ad-bc

a)

198

b)

162

c)

-333

d)

-9

91.

Calculate the determinant

a)

0

b)

none

c)

-32

d)

-8

92.

If A is a 2 × 3 matrix, and B is a 3 × 4 matrix, how many columns does AB have?

a)

2

b)

3

c)

4

d)

AB is not defined

93.

What is a₂₃

a)

14

b)

4

c)

1

d)

3

94.

Matrices can be multiplied only...

a)

if the row of the first matrix is equal to the column of the second matrix.

b)

if the column of the first matrix is equal to the column of the second matrix.

c)

if the column of the first matrix is equal to the row of the second matrix.

d)

if the row of the first matrix is equal to the row of the second matrix.

95.

What would be the dimension of the matrix product AB?

If A_1X4and B_4X7

a)

1X7

b)

4X4

c)

4X7

d)

7X1

96.

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

97.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

98.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

99.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

100.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

101.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

102.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

103.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)

104.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)

105.

What is a₂₃

a)

14

b)

4

c)

1

d)

3

106.

a)

b)

c)

d)

107.

Calculate the Determinant

a)

det = 2

b)

det = -2

c)

det = -64

d)

det = 64

108.

Find the inverse.

a)

A

b)

B

c)

C

d)

D

MATRICES

Total questions: 108

Worksheet time: 4hrs 51mins

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