# Worksheet: Homogeneous Systems of Linear Equations

In this worksheet, we will practice solving a Homogeneous system of Linear Equations using Elementary row operations.

**Q1: **

Consider the matrix

Find the matrix with the smallest positive integer entries such that

- A
- B
- C
- D
- E

Find the matrix with the smallest non-zero positive integer entries, , such that

- A
- B
- C
- D
- E

**Q3: **

Which of the following systems of equations is homogeneous?

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