wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Matrices, Vectors and Complex Numbers Test Review

Total questions: 26

Worksheet time: 52mins

Name
Class
Date
1.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
2.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
3.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
4.
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
5.
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  
6.
Find B-A
a)
-3     1
7     -1
b)
1     0
1     -4
c)
4       0
-6     0
d)
not possible because rows do not match columns
7.

What is R23?

a)

8

b)

9.01

c)

6

d)

1

8.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

9.
Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).
a)
6
b)
8.2
c)
10
d)
10.4
10.

If w = <2, -5> and y = <2, 0>, find 2w + y

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

11.
Given u = <3, 7> and v =<-5, 4>, find 2v - 3u
a)
<21, 2>
b)
<-19, -13>
c)
<-15, 3>
d)
23
12.
Find the magnitude of the vector <-5, 12>
a)
13
b)
10.91
c)
7
d)
17
13.

If vector a= (4, -5) and vector b= (-7, 4) Find a+b

a)

(3, 9)

b)

(-3, -1)

c)

(11, 1)

d)

(-3, -9)

14.

If vector a= (4, -5) and vector b= (-7, 4) Find a-b

a)

(-11, -9)

b)

(11, 9)

c)

(11, -9)

d)

(-3, -1)

15.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

16.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

17.

What does i2 equal?

a)

-1

b)

√-1

c)

1

d)

-√1

18.
(1-3i)(2+5i)
a)
22-i
b)
16-i
c)
17-i
19.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
20.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
21.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
Find the product of the two matrices.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
25.
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
26.
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