Find all invariant subspaces of the following matrices: (a) (b) (c) (d) (e) (f) 12 2 1

Question:

Find all invariant subspaces of the following matrices:

(a)

(b)

(c)

(d)

(e)

(f)

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 30, 2023 02:57 AM

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Find all invariant subspaces of the following matrices: (a) (b) (c) (d) (e) (f) 12 2 1

Question:

12 2 1

Step by Step Answer:

ANSWER a 1221 The characteristic polynomial of the matrix is 2 2 3 which has roots 1 and 3 Therefore the eigenvalues of the matrix are 1 and 3 For the eigenvector corresponding to 1 we solve the syste...View the full answer

Applied Linear Algebra

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