Solve the matrix system

Question

this is the system:

{ 4x - 3y + 4w + 2z = 0

-x + y + 3w + 3z = 1

3x - 2y +7w + 5z = 1

2x - 2y - 6w - 6z = -2

Please solve this problem using Matrix. Thank you

Answer 1

The coefficient matrix for this set of equations is singular. That is, it does not have an inverse.

In such a case, there is either no solution, or an infinite number of solutions.

An analysis with reduced row echelon methodology suggests that in this particular case there are an infinite number of solutions.