# Worksheet: Matrix Operations

In this worksheet, we will practice performing operations on matrices, such as adding them, subtracting them, transposing them, and multiplying them by scalars.

**Q2: **

Find the sum of the following matrices.

- A
- B
- C
- D
- E

**Q4: **

Given that find .

- A
- B
- C
- D

**Q5: **

If and , is ?

- Ayes
- Bno

**Q6: **

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

**Q7: **

Consider the matrices

Find .

- A
- B
- C
- D
- E

**Q8: **

Given that determine .

- A
- B
- C
- D

**Q9: **

Given that determine the matrix .

- A
- B
- C
- D

**Q10: **

Given that find the result of , if possible.

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

**Q11: **

If and then which of the following cannot exist?

- A
- B
- C
- D

**Q12: **

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

**Q13: **

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.

**Q14: **

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.