Q5 of 127 Page 136

Examine the consistency of the system of equations.

3x–y – 2z = 2


2y – z = –1


3x – 5y = 3

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.


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x + 3y = 5


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x + y + z = 1


2x + 3y + 2z = 2


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5x – y + 4z = 5


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Solve system of linear equations, using matrix method.

5x + 2y = 4


7x + 3y = 5