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Mathematics II20795 marksNumerical: eigenvalues of matrixThe characteristic equations

Find the eigenvalues of the matrix

Find the eigenvalues of the matrix $$\begin{bmatrix} 6 & 3 & -8 \ 0 & -2 & 0 \ 1 & 0 & -3 \end{bmatrix}$$ [5]

$$A = \begin{bmatrix} 6 & 3 & -8 \ 0 & -2 & 0 \ 1 & 0 & -3 \end{bmatrix}$$ All entries are readable and complete. $$\det(A - \lambda I) = 0$$ $$A - \lambda I = \begin{bmatrix} 6-\lambda & 3 & -8 \ 0 & -2-\lambda & 0 \ 1 & 0 & -3-\lambda \end{bmatrix}$$ $$\det(A - \lambda I) = (-2-\lambda)\det...

Up nextDefine null space of a matrix A. Show that v is in the null space of A, where