SOLUTION: The matrix A=({0,0,0},{0,3,-6},{0,3,-6}) has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
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Question 1170701: The matrix A=({0,0,0},{0,3,-6},{0,3,-6}) has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. Answer by ikleyn(52831) (Show Source):