From smallest to largest, the eigenvalues are X₁ < X₂ < A3 where A₁ = A₂ = Find the eigenvalues and eigenvectors of the matrix A3 = has an eigenvector has an eigenvector has an eigenvector 6 15 16 -9 -5 -9 -12 -6 -11 Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

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