WorksheetsMatrices, Vectors and Complex Numbers Test Review
Total questions: 26
Worksheet time: 52mins
Name
Class
Date
1.
Subtract
a)
-5
-8
3
10
-8
3
10
b)
-9
8
3
2
8
3
2
c)
5
-8
3
10
-8
3
10
d)
-5
8
3
2
8
3
2
2.
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
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
9 5
b)
17 15
42 35
42 35
c)
10 25
7 1
7 1
d)
not possible because rows do not match columns
5.
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
6.
Find B-A
a)
-3 1
7 -1
7 -1
b)
1 0
1 -4
1 -4
c)
4 0
-6 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
17 12
8 -10
c)
3 12
-15 -8
-1 -3
-15 -8
-1 -3
25.
find: B*A
a)
47 30
9 5
9 5
b)
17 15
42 35
42 35
c)
10 25
7 1
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
-7
-6
20
b)
7
-9
-6
20
-9
-6
20
c)
Not Possible
d)
7
-9
2
20
-9
2
20
100 %
