# If , find the value of λ so that A2 = λA – 2I. Hence, find A – 1.

A = A2 = = Now, A2 = λA – 2I

= λA = A2 + 2I

= = λ = = = 3 or λ = 1

So, A2 = A – 2I

Multiply by A – 1 both sides

= A.A. A – 1 = A. A – 1 – 2I. A – 1 = 0

= 2A – 1 = Hence, A – 1 = Rate this question :

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