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Worksheets

MATRICESS

Total questions: 118

Worksheet time: 10hrs 34mins

Name
Class
Date
1.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
2.
Subtract
a)
3    -8
0   -1
b)
3   -4
8  -13
c)
-3   8
0    1
d)
3   -8
-8    1
3.
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
4.
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
5.
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
6.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
7.
Perform the indicated operation.  If it’s not possible, select Not Possible. 
a)
7
-7
-6
20
b)

-9
-6
20
c)
Not Possible
d)
7
-9
2
20
8.
find: B*A
a)
47     30
9     5
b)
17     15
42     35
c)
10     25
7     1
d)
not possible because rows do not match columns
9.
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  
10.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
11.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
12.
What comes first in the order?
a)
Row
b)
Column
13.
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.
14.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
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 nth value of a series
d)
A complicated number system
19.
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
20.
What do a, b, c and d equal in this matrix addition?
a)
a = -1, b = 10, c = 7, d = -11
b)
a = -1, b = 10, c = -11, d = 7
c)
a = 10, b = -1, c = 7 , d = -11 
d)
a = 10, b = -1, c = -11, d = 7
21.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
22.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
23.
The number of columns in a 2x12 matrix is?
a)
10
b)
24
c)
12
d)
2
24.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
25.
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)
26.

What is the formula for the determinant of a 2x2 matrix?

a)

ad-bc

b)

ab-cd

c)

ad+bc

d)

(a+d)(b+c)

27.

Which matrix is an identity matrix

a)

A

b)

B

c)

C

d)

D

28.

Find Inverse of M

a)
b)
c)
d)
29.

Find the inverse of the matrix.

a)
b)
c)
d)

No Inverse Exists

30.

Find the inverse of the matrix.

a)
b)
c)
d)

No Inverse Exists

31.
Solve for the determinant of the following matrix:  
⌈12  −3⌉
⌊−6  15⌋
*detA= ad-bc
a)
198
b)
162
c)
-333
d)
-9
32.
a)

undefined

b)
c)
d)
33.

Multiply

a)

undefined

b)
c)
d)
34.

multiply

a)

undefined

b)
c)
d)
35.

Multipy.

a)
b)
c)
d)

undefined

36.

Write the matrix equation in matrix form AX=B.

-5x + 10 = -5y

-13 + 4y = 7x

a)
b)
c)
37.

Solve the system using matrices

x + 2y = 2

5x - 6y = - 54

a)

(-6, 4)

b)

(-8, 4)

c)

(8, 4)

d)

(6, 4)

38.

Solve the system using matrices if determinant is 11

3x - 8x = 32

x + y = 7

a)

(-8, 1)

b)

(8, -1)

c)

(-1,8)

d)

(1, -8)

39.
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
40.
a)
b)
c)
41.

a)
b)
c)
42.

elemen a34 pada matriks tersebut adalah…

a)

10

b)

-7

c)

12

d)

-10

43.

termasuk jenis matriks…

a)

Matriks persegi panjang

b)

Matriks baris

c)

matriks lajur

d)

matriks diagonal

44.

termasuk jenis matriks…

a)

Matriks persegi panjang

b)

Matriks baris

c)

matriks lajur

d)

matriks diagonal

45.

Nilai lemen a23 adalah...

a)

9

b)

7

c)

1

d)

2

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.

Tentukan hasil penjumlahan matriks berikut!

a)

11 8

-4 2

b)

3 2

-6 -6

c)

-3 2

-4 -6

d)

10 8

-6 2

52.
a)
A
b)
B
c)
C
d)
D
53.
Subtract
a)
3    -8
0   -1
b)
3   -4
8  -13
c)
-3   8
0    1
d)
3   -8
-8    1
54.
Multiply
a)
25
25
5
b)
-25
25
-5
c)
-10
-10
-6
d)
10
10
6
55.
a)

A

b)

B

c)

C

d)

D

56.
What are the dimensions of the product of [2X4] * [3x4]?
a)
not possible
b)
[2x4]
c)
[4x3]
d)
[3x2]
57.

Dadas las siguientes matrices. Calcule a+b

a)
b)
c)
d)

Ninguna

58.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
59.
Can the operation be performed?
a)
Yes
b)
No
c)
Sometimes
d)
only Mrs. Jordan knows
60.

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.

61.
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
62.

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

63.

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

64.

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

65.

What are the dimensions of Matrix P?

a)

3 x 4

b)

4 x 3

c)

3 x 3

d)

2 x 4

66.

What is element P23?

a)

10

b)

7

c)

8

d)

11

67.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
68.
Subtract
a)
3    -8
0   -1
b)
3   -4
8  -13
c)
-3   8
0    1
d)
3   -8
-8    1
69.
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
70.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
71.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
72.
a)
A
b)
B
c)
C
d)
D
73.
a)
A
b)
B
c)
C
d)
D
74.
a)
A
b)
B
c)
C
d)
D
75.
a)
A
b)
B
c)
C
d)
D
76.
a)
A
b)
B
c)
C
d)
D
77.
a)
A
b)
B
c)
C
d)
D
78.
a)
A
b)
B
c)
C
d)
D
79.
a)
A
b)
B
c)
C
d)
D
80.

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

81.

Calculate the Determinant

a)

det = -45

b)

det = 109

c)

det = 45

d)

det = -109

82.

Determine the Inverse Matrix

a)
b)
c)
d)
83.

Calculate the Determinant

a)

det = 2

b)

det = -2

c)

det = -64

d)

det = 64

84.
a)
A
b)
B
c)
C
d)
D
85.
a)
A
b)
B
c)
C
d)
D
86.
a)
A
b)
B
c)
C
d)
D
87.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
88.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
89.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
90.

Evaluate the determinant of the matrix.

a)

68

b)

-49

c)

-83

d)

-75

91.

Evaluate the determinant of the matrix.

a)

40

b)

30

c)

20

d)

10

92.

Evaluate the determinant of the matrix.

a)

695

b)

284

c)

392

d)

-179

93.

What is the determinant of this matrix?

a)

-2

b)

2

c)

10

d)

24

94.

What is the determinant of this matrix?

a)

5

b)

-5

c)

0

d)

-12

95.

Calculate the

m23 and  c23m_{23\ }and\ \ c_{23}  

a)

m23=12,  c23=12m_{23}=12,\ \ c_{23}=12  

b)

m23=12,  c23=12m_{23}=12,\ \ c_{23}=-12  

c)

m23=20,  c23=20m_{23}=-20,\ \ c_{23}=-20  

d)

m23=20,  c23=20m_{23}=-20,\ \ c_{23}=20  

96.

find

m13  and c13m_{13}\ \ and\ c_{13}  

a)

m13=16,  c13=16m_{13}=16,\ \ c_{13}=16  

b)

m13=16,  c13=16m_{13}=16,\ \ c_{13}=-16  

c)

m13=8,  c13=8m_{13}=8,\ \ c_{13}=8  

d)

m13=8,  c13=8m_{13}=8,\ \ c_{13}=-8  

97.

find

m13  and c13m_{13}\ \ and\ c_{13}  

a)

m13=16,  c13=16m_{13}=16,\ \ c_{13}=16  

b)

m13=16,  c13=16m_{13}=16,\ \ c_{13}=-16  

c)

m13=8,  c13=8m_{13}=8,\ \ c_{13}=8  

d)

m13=8,  c13=8m_{13}=8,\ \ c_{13}=-8  

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

A

b)

B

c)

C

d)

D

102.

a)

A

b)

B

c)

C

d)

D

103.

a)

A

b)

B

c)

C

d)

D

104.

a)

A

b)

B

c)

C

d)

D

105.

a)

A

b)

B

c)

C

d)

D

106.

a)

A

b)

B

c)

C

d)

D

107.

a)

A

b)

B

c)

C

d)

D

108.

a)

A

b)

B

c)

C

d)

D

109.

a)

A

b)

B

c)

C

d)

D

110.

a)

A

b)

B

c)

C

d)

D

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A

b)

B

c)

C

d)

D

115.

a)

A

b)

B

c)

C

d)

D

116.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

a)

A

b)

B

c)

C

d)

D