In both parts of this problem, consider the matrixwith eigenvalues X\ = 5 and X2 = 1 (see Example 1).a. Are the column vectors of the matrices y4 ^1/2 and A Xjh eigenvectors of A? Explain. Does this work for other 2 x 2 matrices? What about diagonalizable n x n matrices with two distinct eigenvalues, such as projections or reflections? (Hint: Exercise 70 is helpful.) b. Are the column vectors of eigenvectors of AI Explain.

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