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GATE ME 2021 Set 2 — Question 11

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MCQ+1 / -0.33EasyEigenvalues & EigenvectorsLinear AlgebraEngineering Mathematics

Engineering Mathematics → Linear Algebra → Eigenvalues & Eigenvectors

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Question

Consider an n×nn \times n matrix AA and a non-zero n×1n \times 1 vector pp. Their product Ap=α2pAp = \alpha^2 p, where α∈R\alpha \in \mathbb{R} and α∉{−1,0,1}\alpha \notin \{-1, 0, 1\}. Based on the given information, the eigen value of A2A^2 is:
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