Consider the following system of equations 2x1 + x2 + x3

Consider the following system of equations
2x₁ + x₂ + x₃ = 0
x₂ – x₃ = 0
x₁ + x₂ = 0
this system has

1. a unique solution
2. no solution
3. infinite number of solutions
4. five solutions

Rank of [A] = 2
Rank of [A / B] = 2
Since Rank of [A] = Rank of [A / B ] < 3
So infinite number of solutions are obtained.