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Worksheets

Week 5 0B2 Review Sessions

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.

Which of the following sums are possible?

a)

A+C

b)

A+B

c)

C+A

d)

B+A

2.

Which of the following scalar products are possible?

a)

0C

b)

5A

c)

5B

d)

5C

3.

Which of the following matrix products are possible?

a)

AC

b)

AB

c)

BA

d)

BC

e)

None of these.

4.

If we have two matrices A and B that can be added, is it necessarily true that A+B=B+A?

a)

Yes

b)

No

5.

If we have two matrices A and B that can be multiplied both AB and BA can be formed, is it necessarily true that AB=BA?

a)

Yes

b)

No

6.

What is the (1,2)-th entry of the product AB.

a)

0

b)

4

c)

1

d)

-1

e)

10

7.

The (a)   matrix of order n is the n× nn\times\ n the matrix whose (i,j)-th entry is 1 if i=j and 0 otherwise.

8.

What is (2,1)-th entry of the inverse of the matrix in the picture?

a)

-1/9

b)

-3/5

c)

-2/3

d)

-1/10

e)

0