# Worksheet: Homogeneous Systems of Linear Equations

In this worksheet, we will practice finding the solution of a homogeneous system of linear equations and expressing the general solution in case of an infinite number of solutions.

**Q1: **

Which of the following systems of equations is homogeneous?

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

**Q3: **

Find all the solutions to the system of equations , .

- AThe system has no solution.
- B, , where is an integer
- C,
- DThe system only has a trivial solution: , .
- E, , where is an integer

**Q4: **

Find all the solutions of the system of equations , , .

- AThe system only has a trivial solution , , .
- B, , , where is an integer
- C, ,
- DThe system has no solution.
- E, , , where is an integer

**Q5: **

Find all the solutions of the system of equations , , .

- AThe system has no solution.
- B, ,
- C, , , where is an integer
- DThe system only has a trivial solution , , .
- E, , , where is an integer