I'm tasked with finding the characteristic equation, eigenvalues, and bases for the eigenspaces of this matrix...

I'm tasked with finding the characteristic equation, eigenvalues, and bases for the eigenspaces of this matrix

[1, -3, 3]

[3,-5,3]

[6,-6,4]

After working on the problem, I believe the characteristic equation is (λ + 2)^2(λ-4), giving eigenvalues of -2 and 4 (please correct me if I'm wrong). However, I'm lost when finding the bases for the eigenspace because I'm not sure the eigenvectors I get are linearly independent.

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Expert Solution

Colby Messinger answered 1 year ago

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