Solve the following systems of homogeneous linear equations by matrix method:
2x + 3y – z = 0
x – y – 2z = 0
3x + y + 3z = 0
Matching exercise
Match the items on the right to the items on the left.
Step 1
Step 2
Step 3
Step 4
Now, |A| = 2(– 3 + 2) – 3(3 + 6) – 1(1 + 3)
|A| = – 33
Hence, the given system has only trivial solution given by x = y = z = 0
