The fourth matrix has 0s on the diagonal and 1s in the off-diagonal positions. Rotate
Chapter 6, Problem 3(choose chapter or problem)
The fourth matrix has 0s on the diagonal and 1s in the off-diagonal positions. Rotate the vector x around the unit circle and note when x and Ax are parallel. On the basis of these observations, determine the eigenvalues and the corresponding unit eigenvectors. Check your answers by multiplying the matrix times the eigenvector to verify that Ax = x.
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