WorksheetsMatrices Review
Total questions: 30
Worksheet time: 8hrs 30mins
Name
Class
Date
1.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
2.
Subtract
a)
3 -8
0 -1
0 -1
b)
3 -4
8 -13
8 -13
c)
-3 8
0 1
0 1
d)
3 -8
-8 1
-8 1
3.
Multiply
a)
25
25
5
25
5
b)
-25
25
-5
25
-5
c)
-10
-10
-6
-10
-6
d)
10
10
6
10
6
4.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
5.
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.
6.
Multiply
a)
1 2
6 -8
6 -8
b)
-3 -5
-5 -11
-5 -11
c)
-2 8
-6 -12
-6 -12
d)
2 -3
5 -2
5 -2
7.
Dimensions?
a)
a
b)
b
c)
c
d)
d
8.
Find A−B
a)
-3 1
7 -1
7 -1
b)
1 0
1 -4
1 -4
c)
-4 0
6 -1
6 -1
d)
not possible because rows do not match columns
9.
Multiply
a)
20 15 -10
30 -5 0
30 -5 0
b)
-20 15 -10
30 -5 0
30 -5 0
c)
1 8 3
11 4 5
11 4 5
d)
20 -15 10
-30 5 0
-30 5 0
10.
Perform the indicated operation. If it’s not possible, select Not Possible.
a)
1 3
9 16
9 16
b)
1 3
9 -16
9 -16
c)
-1 3
9 -16
9 -16
d)
Not Possible
11.
Multiply the matrices
a)
A
b)
B
c)
C
d)
D
12.
Find the determinant's value
a)
-18
b)
-23
c)
-2
d)
2
13.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
14.
Can the operation be performed?
a)
Yes
b)
No
c)
Sometimes
d)
only your teacher knows
15.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
16.
Calculate the determinant
a)
13
b)
-3
c)
-5
d)
13
17.
Multiply
a)
1 2
6 -8
6 -8
b)
-3 -5
-5 -11
-5 -11
c)
-2 8
-6 -12
-6 -12
d)
2 -3
5 -2
5 -2
18.
Given matrices A and B what is 3A - 4B?
a)
b)
c)
d)
19.
Given matrices A and B what is 4B + 3A?
a)
b)
c)
d)
20.
Given matrices A and B, which will give AB?
a)
b)
c)
d)
21.
Use matrices to Solve
a)
x=-3
y=4
b)
x=-3
y=5
c)
x=3
y=-4
d)
x=2
y=-5
22.
Solve using matrices!
a)
(-5,-6)
b)
(-6,3)
c)
(-5,0)
d)
(0,-5)
23.
a)
x=-1
y=2
z=-2
y=2
z=-2
b)
x=2
y=1
z=-1
y=1
z=-1
c)
x=-2
y=-1
z=-2
y=-1
z=-2
d)
x=2
y=2
z=-1
y=2
z=-1
24.
Solve the system
−x − 5y + z = 17
−5x − 5y + 5z = 5
2x + 5y − 3z = −10
a)
(1, 4, 4)
b)
no solution
c)
(−1, −4, −4)
d)
(−4, −4, −1)
25.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
26.
How is the entry of a matrix identified?
a)
Row x Column
b)
Column x Row
c)
Row only
d)
Column only
27.
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
28.
Find the product.
a)
undefined
b)
-3 16
17 12
8 -10
17 12
8 -10
c)
3 12
-15 -8
-1 -3
-15 -8
-1 -3
29.
Given matrix M, find M2.
a)
[49 4]
[0 9]
b)
[49 8]
[20 9]
c)
[14 20]
[-3 -9]
d)
[49 8]
[ 0 9]
30.
Determine AC
a)
[-10 -3]
[8 4]
[8 4]
b)
undefined
c)
[10 8]
[5 -4]
[5 -4]
d)
[-2 3 5]
[-8 4 2]
[-8 4 2]
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