The matrix A=\left[\begin{array}{ccc}
-2 &0 &1\cr
2 &-1 &-2\cr
-1 &0 &0
\end{array}\right]
has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

The eigenvalue =
has multiplicity = and the
dimension of the corresponding eigenspace is .

Is the matrixA defective?
choose
defective
not defective

The eigenvalue =

Is the matrix

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