In this worksheet, we will practice solving matrix equations to get a variable matrix, a coefficient matrix, or an unknown matrix by finding the inverse matrix.

**Q1: **

Use the inverse matrix to solve the following system, giving your answer as an appropriate matrix.

- A
- B
- C
- D
- E

**Q2: **

Given that determine the values of and .

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

**Q3: **

Given that find .

- A
- B
- C
- D

**Q4: **

Given that , find .

- A
- B
- C
- D

**Q5: **

Use the inverse matrix to solve the following system, giving your answer as an appropriate matrix.

- A
- B
- C
- D
- E

**Q6: **

Use the inverse matrix to solve the following system, giving your answer as an appropriate matrix.

- A
- B
- C
- D
- E

**Q7: **

Given that what is ?

**Q8: **

Consider the matrices

If , determine .

- A
- B
- C
- D

**Q9: **

Given that solve the equation , where and is the unit matrix of order .

**Q10: **

Given that determine the values of and .

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

**Q11: **

Given that determine the values of and .

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

**Q12: **

Given that determine the values of and .

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

**Q13: **

Given that determine the values of and .

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

**Q14: **

Given that determine the values of and .

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

**Q15: **

Given that determine the values of and .

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