Let A be a 3 × 3 real matrix such that A 2 (A – 2I) – 4(A – I) = 0, where I and O are the identity and null matrices, respectively. If A 5 = α A 2 + β A + γ I, where α , β and γ are real constants, then α + β + γ is equal to :

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Let A be a 3 × 3 real matrix such that A 2 (A – 2I) – 4(A – I) = 0, where I and O are the identity and null matrices, respectively. If A 5 = α A 2 + β A + γ I, where α , β and γ are real constants, then α + β + γ is equal to :

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