Question

Examine the consistency of the system of equations.

x + y + z = 1        2x + 3y + 2z = 2      ax + ay + 2az = 4

Answer 1

The given system of equations is:

X + Y + Z = 1 2x
+ 3y + 2z = 2 ax
+ ay + 2az = 4

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

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