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Magazine Problem 17
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{cc}3 & -1 \\ -1 & 3\end{array}\right]$$
Problem 18
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{cc}0 & 1 \\ 25 & 0\end{array}\right]$$
Problem 19
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{cc}-3 & 1 \\ 0 & -1\end{array}\right]$$
Problem 20
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}1 & -2 & -3 \\ 0 & 3 & 0 \\ 0 & -1 & -1\end{array}\right]$$
Problem 21
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}5 & -2 & 3 \\ 0 & 4 & 0 \\ 0 & -1 & 3\end{array}\right]$$
Problem 22
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}1 & 0 & 12 \\ 2 & -5 & 0 \\ 1 & 0 & 2\end{array}\right]$$
Problem 23
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}1 & 0 & -18 \\ -4 & 3 & -1 \\ 1 & 0 & -8\end{array}\right]$$
Problem 24
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}-1 & 18 & 0 \\ 1 & 2 & 0 \\ 5 & -3 & -1\end{array}\right]$$
Problem 25
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}5 & 0 & 0 \\ 1 & 1 & 0 \\ -1 & 5 & -2\end{array}\right]$$
Problem 26
Find the eigenvalues of the given matrix. For each eigenvalue, give an eigenvector. $$\left[\begin{array}{ccc}2 & -1 & 1 \\ 0 & 3 & 6 \\ 0 & 0 & 7\end{array}\right]$$
