Question: The fourth matrix has 0's on the diagonal and l's in the off-diagonal positions. Rotate the vector x around the unit circle and note when

The fourth matrix has 0's on the diagonal and l's in the off-diagonal positions. Rotate the vector x around the unit circle and note when x and Ax are parallel. Based on these observations, determine the eigenvalues and the corresponding unit eigenvectors. Check your answers by multiplying the matrix times the eigenvector to verify that Ax = λx.

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