**Q1: **

Is it possible to have a matrix and a matrix such that If so, give an example.

- Ayes, ;
- Byes, ;
- Cno

**Q3: **

Suppose the matrix product makes sense. We also know that has 2 rows, has 3 columns, and has 4 entries. Is it possible to determine the possible sizes of these matrices? If so, what are the possible sizes of , , and ?

- A yes, , , ; , , ; , ,
- Bno
- C yes, , , ; , , ; , ,
- D yes, , , ; , , ; , ,
- E yes, , , ; , , ; , ,

**Q4: **

Find the matrices and such that, for any matrix , and . Explain why and are not the same.

- A , , and have different dimensions.
- B , , and have different dimensions.
- C , , and have different dimensions.
- D , , and have different dimensions.
- E , , and have different dimensions.

**Q5: **

Suppose Which of the following products is defined?

- A
- B
- C
- D
- E

**Q6: **

Suppose is a matrix, is a matrix, and is a matrix. What are the sizes of the product matrices , and ?

- A
- B
- C
- D
- E

**Q7: **

If is a matrix of order and is a matrix of order , then what is the order of ?

- A
- B
- C
- D

**Q8: **

Find a matrix such that for all matrices .

- A
- B
- C
- D
- E

**Q9: **

Given that is a matrix of order , and is a matrix of order , determine the condition under which AB is defined.

- A
- B
- C
- D
- E

**Q12: **

If is a matrix of order and is a matrix of order , then what is the order of ?

- A
- B
- C
- D

**Q13: **

If is a matrix of order and is a matrix of order , then what is the order of ?

- A
- B
- C
- D