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(Solved): The matrix \[ A=\left[\begin{array}{ccc} -5 & -4 & 2 \\ 10 & 5 & 2 \\ 8 & 4 & 1 \end{array}\right] ...
![The matrix
\[
A=\left[\begin{array}{ccc}
-5 & -4 & 2 \\
10 & 5 & 2 \\
8 & 4 & 1
\end{array}\right]
\]
has eigenvalues \( -3,1](https://media.cheggcdn.com/media/0b6/0b6d7dad-0c25-41b7-8a08-5451ebbf8e94/php4K2MJY)
The matrix \[ A=\left[\begin{array}{ccc} -5 & -4 & 2 \\ 10 & 5 & 2 \\ 8 & 4 & 1 \end{array}\right] \] has eigenvalues \( -3,1 \), and 3 . Find its eigenvectors. The eigenvalue 1 has associated eigenvector The eigenvalue 3 has associated eigenvector
Expert Answer
Solution :- The eigenvector is a vector that is associated with a set of linear equations. The eigenvector of a matrix is also known as a latent vecto