Examine the consistency of the system of equations. 3x–y – 2z = 2 2y – z = –1 3x – 5y = 3

Question

Philoid · Accepted Answer

The given system of equations is:

3x - y - 2z = 2

0x + 2y - z = -1

3x - 5y +0z = 3

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

Now |A| = 3(-5) + 3(5) = 0

∴ A is a singular matrix and hence A^-1 doesn’t exist.

So the system of equations will be inconsistent.