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Examine the Consistency of the System of Equations. 3x − Y − 2z = 2 2y − Z = −1 3x − 5y = 3 - Mathematics

Examine the consistency of the system of equations.

3x − y − 2z = 2

2y − z = −1

3x − 5y = 3

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Solution

The given system of equations is:

3x − y − 2z = 2

2y − z = −1

3x − 5y = 3

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

Thus, the solution of the given system of equations does not exist. Hence, the system of equations is inconsistent.

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APPEARS IN

NCERT Class 12 Maths
Chapter 4 Determinants
Q 6 | Page 136
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