Q6 of 127 Page 136

Examine the consistency of the system of equations.

5x – y + 4z = 5


2x + 3y + 5z = 2


5x – 2y + 6z = –1

The given system of equations is:

5x - y + 4z = 5


2x + 3y + 5z = 2


5x - 2y + 6z = -1


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



Now |A| = 5(18+10) + 1(12-25) + 4(-4-15) = 51 ≠ 0


∴ A is a non-singular matrix and hence A-1 exists.


So, The system of equations will be consistent.


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Examine the consistency of the system of equations.

x + y + z = 1


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3x–y – 2z = 2


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Solve system of linear equations, using matrix method.

5x + 2y = 4


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Solve system of linear equations, using matrix method.

2x – y = –2


3x + 4y = 3