Question

Identify the singular and non-singular matrices:

`[(2, -3, 5),(6, 0, 4),(1, 5, -7)]`

Answer 1

Let B = `[(2, -3, 5),(6, 0, 4),(1, 5, -7)]`

|B| = `|(2, -3, 5),(6, 0, 4),(1, 5, -7)|`

|B| = 2(0 – 20) + 3(– 42 – 4) + 5(30 – 0)

|B| = – 40 + 3 × – 46 + 150

|B| = – 40 – 138 + 150

|B| = – 178 + 150 ≠ 0

∴ B is non singular.