**Q1: **

Suppose that , , and .

Find .

- A
- B
- C
- D
- E

Find .

- A
- B
- C
- D
- E

Find .

- A
- B
- C
- D
- E

Express in terms of and .

- A
- B
- C
- D
- E

**Q2: **

If and then which of the following cannot exist?

- A
- B
- C
- D

**Q3: **

Given that find .

- A
- B
- C
- D

**Q4: **

Given that determine .

- A
- B
- C
- D

**Q5: **

Given that determine the matrix .

- A
- B
- C
- D

**Q6: **

Given that the order of the matrix is , and that of the matrix is , which of the following operations can be performed?

- A
- B
- C
- D

**Q7: **

and are two matrices with the property that for any matrix , and . Are and equal?

- A No, they are different matrices of the same dimensions.
- B No, they have different dimensions.
- C Yes, they are both the identity matrix.

**Q8: **

Consider the matrices and . Find .

- A
- B
- C
- D
- E

**Q9: **

and are two matrices with the property that for any matrix , and . Are and equal?

- A No, they are different matrices of the same dimensions.
- B Yes, they are both the identity matrix.
- C No, they have different dimensions.

**Q10: **

Evaluate

- A
- B
- C
- D
- E

**Q11: **

Suppose that and . Solve the equations from to find conditions on and for this equality to be true.

- A
- B
- C
- D
- E

**Q12: **

Given that find the result of , if possible.

- A
- BIt is not possible.
- C
- D
- E

**Q13: **

Consider the matrix We wish to find the matrix for which , where is the identity matrix. Suppose that

Find in terms of . Hence, by comparing this to , find the value of .

- A
- B
- C
- D
- E

By considering suitable entries of , find the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

Using your answers to the previous parts of the question, find the values of and .

- A ,
- B ,
- C ,
- D ,
- E ,

Find the values of , , , and .

- A , , ,
- B , , ,
- C , , ,
- D , , ,
- E , , ,

**Q14: **

If and , is ?

- Ayes
- Bno