Free Printable MATH 206 - (MATRICES)

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Worksheets

MATH 206 - (MATRICES)

Total questions: 31

Worksheet time: 23mins

Name

Class

Date

1.

If A is a 2 x 3 matrix, and B is a 3 x 4 matrix, how many columns does AB have?

a)

2

b)

3

c)

4

d)

5

2.

Multiply the vector m = (4, -2) by the scalar -4.

a)

(-16, 8)

b)

(16, 8)

c)

(16, -8)

d)

(-16, -8)

3.

Find the coordinates of a vector u = AB, A (-4, 2), B(2,1).

a)

(3, -2)

b)

(-6, 1)

c)

(-5, 3)

d)

(6, -1)

4.

A is a 3 x 2 matrix, B is a 2 x 3 matrix, C is a 2 x 2 matrix, D is a 3 x 3 matrix. Which of the following products does not exist?

a)

AB

b)

BD

c)

AC

d)

CD

5.

Find the coordinates of vector –v wherein v = (2 ;6)

a)

(2,-6)

b)

(-2, -6)

c)

( -2, 6)

d)

(2, 6)

6.

Which one of the following is not a unit vector?

a)

(0, 1, 0)

b)

(0, 0, 1)

c)

(1/√3 , 1/√3, 1/√3)

d)

(1, 1, 1)

7.

Find the component form of the vector v that has initial point (4, -7) and terminal point (-1,5).

a)

(3, -2)

b)

(5, -12)

c)

(-5, 12)

d)

(-3, 2)

8.

Calculate the magnitude of a vector AB, A(4, -7), B(-1, 5).

a)

13units

b)

169 units

c)

5 units

d)

√34 units

9.

Find the coordinates of vector –2v wherein v = (2 ;6).

a)

(4,-12)

b)

(-4, -12)

c)

( -4, 12)

d)

(4, 12)

10.

If a = (-4, 9), what is the magnitude of a?

a)

√97

b)

5

c)

25

d)

√65

11.

What is the magnitude of the vector M = (-3, 5) ?

a)

√29

b)

2

c)

4

d)

√34

12.

What is the magnitude of the vector V = (-3, 4, -12) ?

a)

√179

b)

13

c)

11

d)

√159

13.

If B = (6, -8), what is ½ B?

a)

(-3, -4)

b)

(3, -4)

c)

(-3, 4)

d)

(3, 4)

14.

If A = (-2, 6), and B = (4, -3) what is 3A - 2B?

a)

(-14, 12)

b)

(2, 12)

c)

(-14, 24)

d)

(2, 24)

15.

If v = (-2, 5, 3), and w = (4, -3, -2) what is-4v-3w ?

a)

(-4, -11, -6)

b)

(20, -11, -6)

c)

(-4, -29, -6)

d)

(-4, -11, -18)

16.

If A = (-2, 6), and C = (-1, -5), what is ½ A+3C?

a)

(2, 18)

b)

(2, -12)

c)

(-4, 18)

d)

(-4, -12)

17.

What is the magnitude of the vector V = (12, -5, 84) ?

a)

√7215

b)

√7235

c)

85

d)

91

18.

Find the coordinates of a vector v = AB, A (3, 2), B(4,0).

a)

(7, -2)

b)

(7, 2)

c)

(-1, 2)

d)

(1, -2)

19.

Let i, j, and k be unit vectors in the x, y and z directions, respectively. Suppose that a = 3i - j + 2k. What is the magnitude of the vector a ?

a)

4

b)

√12

c)

14

d)

√14

20.

Which one of the following shows the vector a - b?

a)

b)

c)

d)

21.

equals?

a)

b)

c)

d)

22.

What is the transpose of matrix above?

a)

b)

c)

d)

23.

What is the determinant of the matrix A?

a)

11

b)

1

c)

-11

d)

-1

24.

and AB = BA then what is the value of x ?

a)

x = 0

b)

x = 1

c)

x = 2

d)

x = 3

25.

then what is 2A + B^T ?

a)

b)

c)

d)

26.

Find the matrix A.

a)

b)

c)

d)

27.

Find Matrix A .

a)

b)

c)

d)

28.

a)

b)

c)

d)

29.

a)

b)

c)

d)

30.

What is the determinant of matrix A ?

a)

-28

b)

-20

c)

20

d)

28

31.

then what is AB ?

a)

b)

c)

d)

Reset

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