Free Printable Matrices and Determinants

1.

a)

2

b)

3

c)

4

d)

5

2.

If A and B are invertible matrix then (AB)^-1 =

a)

A^-1B^-1

b)

AB

c)

B^-1A^-1

d)

none of these

3.

1. which of the following is correct

a)

determinants is a square matrix

b)

determinants is a number associated to a matrix

c)

determinants is a number associated to a square matrix

d)

none of these

4.

If the order of matrix A is m×p. And the order of B is p×n. Then the order of matrix AB is

a)

m × n

b)

n × m

c)

n × p

d)

m × p

5.

When you multiply a matrix by the inverse matrix, you obtain the

a)

inverse matrix.

b)

transpose matrix.

c)

Identity matrix

d)

original matrix.

6.

a)

7

b)

1

c)

- 7

d)

None of these

7.

The adjoint of matrix A =

a)

b)

c)

d)

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

Will this matrix have an inverse?

a)

Yes

b)

No

c)

Unable to Determine

11.

What is the value of the element $a_{3,2}$ of the given determinant ?

a)

1

b)

-4

c)

-3

d)

5

12.

What is the minor of $a_{3,2}$ of the given determinant ?

a)

b)

c)

d)

13.

What is the minor of the entry $a_{2,2}$ of the given determinant ?

a)

b)

c)

d)

14.

What is the evaluated form of the given determinant?

a)

7

b)

53

c)

-13

d)

-7

15.

What is the determinant of this matrix?

a)

0

b)

24

c)

-24

d)

-12

16.

On your paper show the setup for solving the system using Cramer's rule. Solve system by using Cramer's Rule. Answers are written in the following form (x,y)

2x+3y=15

x-3y=3

a)

$\left(1,6\right)$

b)

$\left(6,-1\right)$

c)

$\left(6,1\right)$

d)

$\left(-1,6\right)$

17.

On your paper show the setup for solving using Cramer's Rule. Solve the system of equations using Cramer's Rule.

a)

\left(-2,0\right)

b)

$\left(2,\ 4\right)$

c)

$\left(2,\ -4\right)$

d)

$\left(0,-2\right)$

18.

Find the determinant of the above matrix.

a)

-23

b)

23

c)

-7

d)

7

19.

Solve using Cramer's Rule...

$2x+y=0$

$3x+2y=-2$

What is the x-coordinate of the solution?

(a)

20.

Solve using Cramer's Rule...

$2x+y=0$

$3x+2y=-2$

What is the y-coordinate of the solution?

(a)

Matrices and Determinants

Total questions: 20

Worksheet time: 14mins

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