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Calculus and Beyond Homework Help
Eigenvalue and Eigenvectors
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[QUOTE="mr-feeno, post: 5634811, member: 607379"] [B]1. [/B] 1) Given 2x2 matrix A with A^t = A. How many linearly independent eigenvectors is A? 2) Is a square matrix with zero eigenvalue invertible? [B]2; [/B]When it comes to whether it is invertible; the det(A-λ* I) v = 0 where det (A-λ * I) v = 0 where λ = 0 We get Av = 0, where the eigenvector is zero. But this proves anything? Or it is possible to prove that det(A) ≠ 0? I am not sure about how to prove it I feel I lack some theory behind it all. Im completely blank on the first, so thanks for all your help [/QUOTE]
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Eigenvalue and Eigenvectors
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