Free Printable Operations with Matrices and Determinants

1.

Find the value of det (I).

a)

18

b)

-18

c)

-8

d)

8

2.

What is the determinant of this matrix?

a)

5

b)

-5

c)

0

d)

-12

3.

What is the determinant of the matrix $\begin{bmatrix} 3 & 1 \ 4 & 2 \end{bmatrix}$

a)

2

b)

6

c)

0

d)

-2

4.

If |adj (adj A) | = , then the order of the square matrix A is

a)

3

b)

4

c)

2

d)

5

5.

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.

6.

Perform the indicated operation

a)

b)

c)

d)

e)

not possible

7.

Perform the indicated operation

a)

b)

c)

d)

e)

not possible

8.

Perform the following operation

a)

b)

c)

d)

e)

not possible

9.

What do a, b, c and d equal in this matrix addition?

a)

a = -1, b = 10, c = 7, d = -11

b)

a = -1, b = 10, c = -11, d = 7

c)

a = 10, b = -1, c = 7 , d = -11

d)

a = 10, b = -1, c = -11, d = 7

10.

How would a scalar multiplication be carried out for a matrix?

a)

Add the Scalar to every element in the matrix

b)

Dot product the rows of one matrix with the columns of the other matrix

c)

Multiply every element with the scalar to create a new matrix

d)

subtract the elements in the first matrix from the elements of the second matrix

11.

What do a, b, c and d equal in this matrix addition?

a)

a = -1, b = 10, c = 7, d = -11

b)

a = -1, b = 10, c = -11, d = 7

c)

a = 10, b = -1, c = 7 , d = -11

d)

a = 10, b = -1, c = -11, d = 7

12.

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

13.

In Matrix R (pictured) what element is in the second row, third column?

a)

8

b)

9.01

c)

6

d)

1

14.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

Operations with Matrices and Determinants

Total questions: 14

Worksheet time: 14mins

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