Eigenvalues and Eigenvectors of a Matrix - Maple Programming Help

Eigenvalues and Eigenvectors of a Matrix

 Description Calculate the eigenvalues and corresponding eigenvectors of a matrix.

Enter a matrix.

 > $\left[\begin{array}{ccc}{1}& {2}& {1}\\ {6}& {-}{1}& {0}\\ {-}{1}& {-}{2}& {-}{1}\end{array}\right]$
 $\left[\begin{array}{rrr}{1}& {2}& {1}\\ {6}& {-}{1}& {0}\\ {-}{1}& {-}{2}& {-}{1}\end{array}\right]$ (1)

Calculate the eigenvalues and the corresponding eigenvectors of the matrix.

 > $\mathrm{LinearAlgebra}\left[\mathrm{Eigenvectors}\right]\left(\right)$
 $\left[\begin{array}{r}{-}{4}\\ {3}\\ {0}\end{array}\right]{,}\left[\begin{array}{ccc}{-}{1}& {-}{1}& {-}\frac{{1}}{{13}}\\ {2}& {-}\frac{{3}}{{2}}& {-}\frac{{6}}{{13}}\\ {1}& {1}& {1}\end{array}\right]$ (2)
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