In this worksheet, we will practice using some properties of matrix inverse.

**Q2: **

If is a matrix, which of the following is equal to ?

- A
- B
- C
- D

**Q3: **

Consider the matrix . Find .

- A
- B
- C
- D
- E

**Q4: **

If and are both nonsingular matrices, then what is the value of ?

- A
- B
- C
- D

**Q5: **

If is the identity matrix, which of the following is equal to ?

- A
- B
- C
- D

**Q6: **

Given that find .

- A
- B
- C
- D

**Q7: **

Given that determine .

- A
- B
- C
- D

**Q8: **

Given that find .

- A
- B
- C
- D

**Q9: **

If is a matrix, which of the following is equal to ?

- A
- B
- C
- D
- E

**Q10: **

Suppose , and are invertible matrices. Which of the following is false?

- A is invertible.
- B
- C
- D does not have full rank.

**Q11: **

Consider the matrix . Find .

- A
- B
- C
- D
- E

**Q12: **

Consider the matrix . Find .

- A
- B
- C
- D
- E

**Q13: **

Consider the matrix . Find .

- A
- B
- C
- D
- E

**Q14: **

Given that find .

- A
- B
- C
- D

**Q15: **

Given that find .

- A
- B
- C
- D