Find the Eigen values and Eigen vectors of the Matrix: A=beginbmatrix | Numerical Methods 2080

Numerical Methods20805 marksNumerical: Eigenvalues and eigenvectorsComputing eigenvalues and eigenvectors

Find the Eigen values and Eigen vectors of the Matrix: $A=\begin{bmatrix} 3 & -1 \\ 1 & 1 \end{bmatrix}$ [5]

Find the Eigen values and Eigen vectors of the Matrix: $A=\begin{bmatrix} 3 & -1 \ 1 & 1 \end{bmatrix}$ [5]

Matrix: $A = \begin{bmatrix} 3 & -1 \\ 1 & 1 \end{bmatrix}$ Required: eigenvalues and eigenvectors. $\det(A - \lambda I) = 0$ $A - \lambda I = \begin{bmatrix} 3-\lambda & -1 \\ 1 & 1-\lambda \end{bmatrix}$ $\det(A - \lambda I) = (3-\lambda)(1-\lambda) - (-1)(1)$ $$= (3 - 3\lambda - \lambd...

Matrix: $$A = \begin{bmatrix} 3 & -1 \ 1 & 1 \end{bmatrix}$$ Required: eigenvalues and eigenvectors. $$\det(A - \lambda I) = 0$$ $$A - \lambda I = \begin{bmatrix} 3-\lambda & -1 \ 1 & 1-\lambda \end{bmatrix}$$ $$\det(A - \lambda I) = (3-\lambda)(1-\lambda) - (-1)(1)$$ $$= (3 - 3\lambda - \lambd...

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Find the Eigen values and Eigen vectors of the Matrix: A=beginbmatrix 3 & -1 1 & 1 endbmatrix