Find the eigenvalue of A = beginbmatrix 7 & 3 3 & -1 endbmatrix | Mathematics II 2080

Mathematics II20805 marksNumerical: eigenvalues of matrixThe characteristic equations

Find the eigenvalue of $A = \begin{bmatrix} 7 & 3 \\ 3 & -1 \end{bmatrix}$ [5]

Find the eigenvalue of $A = \begin{bmatrix} 7 & 3 \ 3 & -1 \end{bmatrix}$ [5]

$A = \begin{bmatrix} 7 & 3 \\ 3 & -1 \end{bmatrix}$ --- $\det(A - \lambda I) = 0$ $A - \lambda I = \begin{bmatrix} 7 - \lambda & 3 \\ 3 & -1 - \lambda \end{bmatrix}$ $\det(A - \lambda I) = (7 - \lambda)(-1 - \lambda) - (3)(3)$ Expand: $$(7 - \lambda)(-1 - \lambda) = -7 - 7\lambda + \lambd...

$$A = \begin{bmatrix} 7 & 3 \ 3 & -1 \end{bmatrix}$$ --- $$\det(A - \lambda I) = 0$$ $$A - \lambda I = \begin{bmatrix} 7 - \lambda & 3 \ 3 & -1 - \lambda \end{bmatrix}$$ $$\det(A - \lambda I) = (7 - \lambda)(-1 - \lambda) - (3)(3)$$ Expand: $$(7 - \lambda)(-1 - \lambda) = -7 - 7\lambda + \lambd...

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