Question: Let A be the matrix given in Example 2. Show that (1, 2, 1)t, (1,1, 1)t, and (1, 0, 1)t are eigenvectors of AtA corresponding

Let A be the matrix given in Example 2. Show that (1, 2, 1)t, (1,−1, 1)t, and (−1, 0, 1)t are eigenvectors of AtA corresponding to, respectively, the eigenvalues λ1 = 5, λ2 = 2 and λ3 = 1.

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