Question

The matrix A=\left[\begin{array}{ccc} 3 & 3 & 3 \\ 3 & 3 & 3 \\ -3 & -3 & -3 \end{array}\right] has two real eigenvalues, one of multiplicity 1 and

one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace The eigenvalue A is ______ and a basis for its associated eigenspace is The eigenvalue A2 is ________ and a basis for Its associated eigenspace is

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