If , prove that A 3 – 6A 2 + 7A + 2I = 0

Question

Philoid · Accepted Answer

A² = A.A

Now, A³ = A². A

Now, A³ – 6A² + 7A + 2I

Therefore, A³ – 6A² + 7A + 2I = 0

If, prove that A3 – 6A2 + 7A + 2I = 0