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7. (a) What 3 by 3 symmetric matrices A, and A2 correspond to fi and f2? f2 = Xi + 212+ 11x3 -2x1x2-2x1x3-4x2x3. (b) Show

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7. (a) What 3 by 3 symmetric matrices A, and A2 correspond to fi and f2? f2 = Xi + 212+ 11x3 -2x1x2-2x1x3-4x2x3. (b) Show that fi is a single perfect square and not positive definite. Where is f1 equal to O? (c) Factor A2 into LL , Write f2 = x A2x as a sum of three squares

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