Free Printable Complex Numbers. Matrices, & Vectors Review

1.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

2.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

3.

Simplify:
-3i(4 + 2i)

a)

6 - 12i

b)

6 + 12i

c)

-12i - 6i²

d)

-12i + 6i²

4.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

5.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

6.

a)

A

b)

B

c)

C

d)

D

7.

Which is the conjugate of $\left(3-4i\right)$ ?

a)

$\left(3-4i\right)$

b)

$\left(3+4i\right)$

c)

$\left(-3-4i\right)$

d)

$-i$

8.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

9.

i⁷

a)

i

b)

-i

c)

1

d)

-1

10.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

11.

What complex number is shown on the graph?

a)

(-2,-3)

b)

-2-3i

c)

2-3i

d)

3i-2

12.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

13.

How is the entry of a matrix identified?

a)

Row x Column

b)

Column x Row

c)

Row only

d)

Column only

14.

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

15.

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

16.

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

17.

Dimensions?

a)

a

b)

b

c)

c

d)

d

18.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

19.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

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

23.

Given matrices A & B:
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?

a)

4x1

b)

4x33

c)

33x1

d)

Matrix does not exist

24.

What is the entry at f₄₂?

a)

23

b)

-81

c)

-44

d)

99

e)

-56

25.

What is a₂₃

a)

14

b)

4

c)

1

d)

3

26.

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

27.

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.

28.

a)

b)

c)

d)

29.

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.

30.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

31.

Find the magnitude.

a)

0

b)

5

c)

-5

d)

4

32.

Find the magnitude.

a)

5

b)

3

c)

25

d)

-4

33.

Find the magnitude.

a)

4

b)

5

c)

3

d)

square root of 5

34.

Component Form

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

35.

Write in component form.

a)

<0, 4>

b)

<8, 2>

c)

<2, 8>

d)

<0, 2>

36.

Horizontal component

a)

-18

b)

5

c)

18

d)

-5

37.

Find the resultant vector.

a)

<5, 3>

b)

<1, 7>

c)

<7, 1>

d)

<3, 5>

38.

Find the resultant vector.

a)

<9, 15>

b)

<7, 17>

c)

<15, 9>

d)

<11, 13>

39.

Magnitude

a)

Square root of 15

b)

Square root of 8

c)

4

d)

0

40.

Determine the magnitude of the vector <8, -2>

a)

2√3

b)

2√17

c)

2√15

d)

2√5

41.

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

42.

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

a)

<-10, 2>

b)

<4, -5>

c)

<-6, 10>

d)

<6, -10>

Complex Numbers. Matrices, & Vectors Review

Total questions: 42

Worksheet time: 2hrs 57mins

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