The matrix A = \left[\begin{array}{cc}
-5 &-1\cr
1 &-7
\end{array}\right]
has one eigenvalue of multiplicity 2. Find this eigenvalue and the dimension of its associated eigenspace.

The eigenvalue has an associated eigenspace with dimension .

Is the matrixA defective?
choose
defective
not defective

The eigenvalue

Is the matrix

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