# Worksheet: Inverse of a Matrix: Row Operations

In this worksheet, we will practice using elementary row operations to find the inverse of a matrix, if possible.

**Q1: **

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

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

**Q2: **

Find the multiplicative inverse of

- A
- B
- C
- D

**Q3: **

Use the inverse matrix to solve Give your answer as an appropriate matrix.

- A
- B
- C
- D
- E

**Q5: **

Find the multiplicative inverse of the matrix

- A
- B
- C
- D

**Q7: **

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

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

**Q9: **

Consider . Find the inverse of the matrix using elementary row operations.

- A
- B
- C
- D
- E

**Q10: **

If a set of row operations () are performed on a matrix until it is transformed into the identity matrix, what is the matrix resulting from performing the same row operations on the identity matrix?

- A
- B
- C0
- D
- E