5. Compute a basis for each eigenspace of matrix A = | 6 3 −4 −1...

5. Compute a basis for each eigenspace of matrix A = | 6 3 −4 −1 | (a) Diagonalize A. (b) Compute A4 and A−3 . (c) Find a matrix B such that B2 = A. (or compute √ A.)

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Expert Solution

For this question the matix is not given clearly but this matirx should be of order 2 ,if this is not a square matrix then we can not find out Eigenspace of A .

Let us choose

Note: Here for questions (c) , basically any matrices you can not difine this is a math error

But you can find a matrum B such that

Take any order 2 matrices thn it's square and then comparing both side we got the entries of B

Colby Messinger answered 1 year ago

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