Q7 of 75 Page 8

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

3x + y – 2z = 0


x + y + z = 0


x – 2y + z = 0

The system can be written as



A X = 0


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


|A| = 9 – 0 + 6


|A| = 15


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


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Mark the correct alternative in the following:

The system of equation x + y + z = 2, 3x – y + 2z = 6 and 3x + y + z = –18 has