Question

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

2x + 3y – z = 0

x – y – 2z = 0

3x + y + 3z = 0

Answer 1

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