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The eigenvectors of A=\left[\begin{array}{rcr}

-21 & 29 & -53 \\

-35 & 35 & -67 \\

-11 & 3 & -11

\end{array}\right] \text { are } \mathbf{v}_{1}=\left[\begin{array}{lll}

1 & 2 & 1

\end{array}\right]^{\top}, \mathbf{v}_{2}=\left[\begin{array}{lll}

-1 & 1 & 1

\end{array}\right]^{\top} \text { and } \mathbf{v}_{3}=\left[\begin{array}{lll}

-3 & -2 & 1

\end{array}\right]^{\top} \text {. Calculate the } eigenvalues of the matrix corresponding to these eigenvectors.

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