(Solved): Find the eigenvalues \( \lambda_{1} ...

Find the eigenvalues \( \lambda_{1}<\lambda_{2}<\lambda_{3} \) and corresponding eigenvectors of the matrix \[ A=\left[\begin{array}{ccc} -3 & 8 & 10 \\ 0 & 1 & -9 \\ 0 & 0 & 4 \end{array}\right] \] The eigenvalue \( \lambda_{1}= \) corresponds to the eigenvector [ The eigenvalue \( \lambda_{2}= \) corresponds to the eigenvector The eigenvalue \( \lambda_{3}= \) corresponds to the eigenvector Find the eigenvalues and eigenvectors of the matrix \( A=\left[\begin{array}{cc}9 & 2 \\ -1 & 6\end{array}\right] \) \( \lambda_{1}=, \vec{v}_{1}=[ \) and \( \lambda_{2}=, \vec{v}_{2}=[ \)