# Worksheet: Gaussian Elimination

In this worksheet, we will practice using Gaussian elimination to get a row echelon form of a matrix and hence solve a system of linear equations.

**Q2: **

Using the row echelon form, check the number of solutions that the following system of linear equations has:

- AThe system has a unique solution.
- BThe system has no solutions.
- CThe system has an infinite number of solutions.

**Q3: **

Which of the following is the matrix in row echelon form?

- A
- B
- C
- D
- E

**Q4: **

Find the row echelon form of the following matrix:

- A
- B
- C
- D
- E

**Q5: **

The equation of a circle has the form . Hence, a circle is determined by three points. Find the equation of the circle through the points , , and by solving the equation using Gaussian elimination. Take .

- A
- B
- C
- D
- E

**Q6: **

Find the general solution for the system

- A
- B
- C
- D
- E

**Q7: **

Find the general solution for the system

- A
- B
- C
- D
- E

**Q8: **

Using Gaussian elimination, solve the following system of linear equations:

- A
- B
- C
- D
- E

**Q9: **

Which of the following is the matrix in row echelon form?

- A
- B
- C
- D
- E

**Q10: **

Which of the following is the matrix in row echelon form?

- A
- B
- C
- D
- E

**Q11: **

Using Gaussian elimination, solve the following system of linear equations:

- A
- B
- C
- D
- E