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12 Nov 2019
Let A = [2 1 1 2]. a) Find eigenvalues, and eigenvectors of A. b) Find a basis for each eigenspace. c) Find an orthonormal basis for each eigenspace. d) Determine whether A is diagonalizable. Justify your answer. e) Find an invertible matrix P and a diagonal matrix D such that P^-1 AP = D. f) Find A^100.
Let A = [2 1 1 2]. a) Find eigenvalues, and eigenvectors of A. b) Find a basis for each eigenspace. c) Find an orthonormal basis for each eigenspace. d) Determine whether A is diagonalizable. Justify your answer. e) Find an invertible matrix P and a diagonal matrix D such that P^-1 AP = D. f) Find A^100.
Jean KeelingLv2
12 Nov 2019