Question: Solve the following problem 1 6 3 (i) Let A = 6 5 2 3 2 1 By considering the characteristic polynomial of A, determine

Solve the following problem

1 6 3 (i) Let A = 6 5 2 3 2 1 By considering the characteristic polynomial of A, determine whether or not A is diagonalizable. (ii) Let A be a real symmetric matrix. Show that the eigenveetors conesponding to distinct eigenvalues of A are orthogonal

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