Math Problem Solver

The eigenvalues of the matrix are: $$\begin{aligned} \lambda_{1} &= -1 \end{aligned}$$ $\lambda_{1}$ has multiplicity 3. All other eigenvalues have multiplicity 1.
The eigenvectors $\begin{bmatrix}\frac{6}{7}\\1\\0\end{bmatrix} \approx \begin{bmatrix}0.857142857142857\\1\\0\end{bmatrix}$ , $\begin{bmatrix}- \frac{5}{7}\\0\\1\end{bmatrix} \approx \begin{bmatrix}-0.714285714285714\\0\\1\end{bmatrix}$ are associated with the eigenvalue $\lambda_{1}$.