1. Let A be an n x n real matrix and be an eigenvalue of A. Prove that the eigenspace Ex corresponding to X is a subspac

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1 Let A Be An N X N Real Matrix And Be An Eigenvalue Of A Prove That The Eigenspace Ex Corresponding To X Is A Subspac 1 (12.48 KiB) Viewed 35 times

1. Let A be an n x n real matrix and be an eigenvalue of A. Prove that the eigenspace Ex corresponding to X is a subspace of R". 2. Let A be an n x n matrix, and 11, 12 be distinct eigenvalues of A. Prove that the eigenspaces of . 12 intersect trivially, i.e. EX, n Ex = {0}, where Ex, is the eigenspace corresponding to 1, for j = 1, 2.