Matrix Power Calculation (Jee Mains)

Formation, Types & Operations

Medium

Matrix Power Calculation

Let A = $\left[ {\begin{array}{*{20}{c}} \alpha &{ - 1}\\[0.9em] 6&\beta \end{array}} \right]$ , α > 0, such that det(A) = 0 and α + β = 1. If I denotes 2 × 2 identity matrix, then the matrix (1 + A)⁸ is

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