**Q1: **

By considering the value of the determinant, determine whether the matrix has an inverse. If so, find the inverse by considering the matrix of cofactors.

- AIt has an inverse, .
- BIt has an inverse, .
- CIt has an inverse, .
- DIt has an inverse, .
- EIt has no inverse.

**Q2: **

Find the inverse of the following matrix.

- A
- B
- C
- D
- E

**Q3: **

Determine whether the matrix has an inverse by finding whether the determinant is nonzero. If the determinant is nonzero, find the inverse using the inverse formula involving the cofactor matrix.

- AIt has an inverse, which is .
- BIt has an inverse, which is .
- CIt has an inverse, which is .
- DIt has an inverse, which is .
- E The matrix has no inverse.

**Q4: **

Find, if it exists, the inverse of the matrix

- A
- B
- C
- D
- E

**Q5: **

Use technology to find the inverse of the following matrix.

- A
- B
- C
- D
- E

**Q6: **

Use technology to find the inverse of the following matrix.

- A
- B
- C
- D
- E

**Q7: **

Use technology to find the inverse of the following matrix.

- A
- B
- C
- D
- E

**Q8: **

Using the elementary row operation, find for the given matrix if possible.

- A
- B
- C
- D
- E The matrix has no inverse.

**Q9: **

Using the Cayley-Hamilton theorem, find for the given matrix if possible.

- A
- B
- C
- D
- EThe matrix has no inverse.

**Q10: **

Using elementary row operations, find for the given matrix if possible.

- A
- B
- C
- D The matrix has no inverse.
- E