Is beginbmatrix 3 2 endbmatrix an eigen vector of beginbmatrix 5 & -3 | Mathematics II 2080.1

Mathematics II2080.15 marksNumerical: eigenvector and eigenvalueEigenvectors and Eigenvalues

Is $\begin{bmatrix} 3 \\ 2 \end{bmatrix}$ an eigen vector of $\begin{bmatrix} 5 & -3 \\ -4 & 9 \end{bmatrix}$ ? If so, find eigenvalue. [5]

Is $\begin{bmatrix} 3 \ 2 \end{bmatrix}$ an eigen vector of $\begin{bmatrix} 5 & -3 \ -4 & 9 \end{bmatrix}$? If so, find eigenvalue. [5]

$A = \begin{bmatrix} 5 & -3 \\ -4 & 9 \end{bmatrix}, \quad \mathbf{v} = \begin{bmatrix} 3 \\ 2 \end{bmatrix}$ Requirement: Determine whether $\mathbf{v}$ is an eigenvector of $A$ ; if so, find the eigenvalue. --- A non-zero vector $\mathbf{v}$ is an eigenvector of $A$ if

$$A = \begin{bmatrix} 5 & -3 \ -4 & 9 \end{bmatrix}, \quad \mathbf{v} = \begin{bmatrix} 3 \ 2 \end{bmatrix}$$ Requirement: Determine whether $\mathbf{v}$ is an eigenvector of $A$; if so, find the eigenvalue. --- A non-zero vector $\mathbf{v}$ is an eigenvector of $A$ if

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Is beginbmatrix 3 2 endbmatrix an eigen vector of beginbmatrix 5 & -3 -4 & 9 endbmatrix? If so, find eigenvalue.