# Worksheet: Inverse of a 2x2 Matrix

In this worksheet, we will practice checking whether a 2x2 matrix has an inverse and then finding its inverse, if possible.

**Q2: **

Find the inverse of the matrix .

- A
- B
- C
- D
- E

**Q5: **

Find the set of real values of for which has a multiplicative inverse.

- A
- B
- C
- D
- E

**Q21: **

Under what condition on is the matrix invertible?

- A or
- B is any real number.
- C and
- D or
- E and

**Q22: **

Find the set of real values of for which has a multiplicative inverse, where .

- A
- B
- C
- D

**Q23: **

Find the value of that makes the matrix singular.

- A40
- B
- C
- D

**Q24: **

Find the set of real values of for which has a multiplicative inverse.

- A
- B
- C
- D
- E

**Q25: **

Under what condition on and is the matrix invertible?

- A
- B
- C
- D
- E