Find the eigenvalues and eigenvectors of the following matrices. 12. $\begin{pmatrix} 1 & 3 \\ 2 & 2 \end{pmatrix}$ 15. $\begin{pmatrix} 2 & 3 & 0 \\ 3 & 2 & 0 \\ 0 & 0 & 1 \end{pmatrix}$
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The characteristic equation is given by: $$det(A - \lambda I) = 0$$ where A is the matrix, $\lambda$ is the eigenvalue, and I is the identity matrix. Show more…
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