Q8 of 75 Page 8

Solve the following systems of homogeneous linear equations by matrix method:

2x + 3y – z = 0


x – y – 2z = 0


3x + y + 3z = 0

The system can be written as



A X = 0


Now, |A| = 2(– 3 + 2) – 3(3 + 6) – 1(1 + 3) = 0


|A| = – 2 – 27 – 4


|A| = – 33


Hence, the given system has only trivial solution given by x = y = z = 0


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x + y – z = 0


x – 2y + z = 0


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Solve the following systems of homogeneous linear equations by matrix method:

3x + y – 2z = 0


x + y + z = 0


x – 2y + z = 0

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