Question

Examine the consistency of the system of equations.

5x − y + 4z = 5
2x + 3y + 5z = 2
5x − 2y + 6z = −1

Answer 1

The given system of equations is:

5x − y + 4z = 5
2x + 3y + 5z = 2
5x − 2y + 6z = −1

This system of equations can be written in the form of AX = B, where

Therefore, A⁻¹ exists.
Hence, the given system of equations is consistent.