Matrix Polynomial Equation (Jee Mains)

Formation, Types & Operations

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Matrix Polynomial Equation

Let A be a 3 × 3 real matrix such that A²(A – 2I) – 4(A – I) = O, where I and O are the identity and null matrices, respectively. If A⁵ = αA² + βA + γI, where α, β and γ are real constants, then α + β + γ is equal to:

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