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

Find all invariant subspaces of the following matrices:

(a)

12 2 1

(b)

(c)

(d)

(e)

(f)

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 full answer

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