Solve the following systems of homogeneous linear equations by matrix method:
3x + y – 2z = 0
x + y + z = 0
x – 2y + z = 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| = 3(1 + 2) – 1(1 – 1) – 2(– 2 – 1)
|A| = 15
Hence, the given system has only trivial solution given by x = y = z = 0
