1 2 1 2 -1 Let C = 1 4 Find all eigenvalues and a maximal set T of linearly independent eigenectors for C. Is C diagonalizable? If not, explain why, and if so, find a matrix P such that P-\CP is diagonal and verify that it is.
1 2 1 2 -1 Let C = 1 4 Find all eigenvalues and a maximal set T of linearly independent eigenectors for C. Is C diagonalizable? If not, explain why, and if so, find a matrix P such that P-\CP is diagonal and verify that it is.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.2: Diagonalization
Problem 32E
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Please use the following:
- The union of the bases for all eigenspaces is a maximal linearly independent set of eigenvectors.
- The matrix (or linear operator) is diagonalizable if and only if the number of
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