1. Show that if A is a symmetric matrix, then A3 is symmetric. 2. Show that if A is orthogonally diagonalizable, then so is A3. 3. Let Q(x) = 8ri + 6r12. Find a change of variable that transforms Q into a quadratic form with term, and give the new quadratic form. Then find the maximum value of C constraint x'x = 1. and find a unit vector at which the maximum is attaine

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