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)
Transcribed Image Text:
12 2 1
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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
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