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Finding eigen values and eigen space

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Let A = . Find each of the following (by hand, showing your work).

(a) The characteristic polynomial of A
(b) The eigenvalues of A.
(c) The algebraic multiplicity for each eigenvalue.
(d) A basis for each eigenspace.
(e) Is "A" diagonalizable? Why or why not?

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The expert finds the eigen values and eigen space. A detailed solution is provided to explain the concept.

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HI,

Please find the explanations/solution attached herewith.

Let A = . Find each of the following (by hand, showing your work).
(a) The characteristic polynomial of A
(b) The eigenvalues of A.
(c) The algebraic multiplicity for each eigenvalue.
(d) A basis for each eigenspace.
(e) Is "A" diagonalizable? Why or why not?

Solution:
(a)
...

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