Mathematics II20785 marksNumerical: eigenvalues of matrixEigenvectors and Eigenvalues
Find the eigen value of
Find the eigen value of $$\begin{bmatrix} 3 & 6 & -8 \ 0 & 0 & 6 \ 0 & 0 & 2 \end{bmatrix}$$ [5]
Matrix: $$A = \begin{bmatrix} 3 & 6 & -8 \ 0 & 0 & 6 \ 0 & 0 & 2 \end{bmatrix}$$ Eigenvalues satisfy $\det(A - \lambda I) = 0$. $$A - \lambda I = \begin{bmatrix} 3-\lambda & 6 & -8 \ 0 & -\lambda & 6 \ 0 & 0 & 2-\lambda \end{bmatrix}$$ Since $A - \lambda I$ is upper triangular, the determinan...