(a) For which values of c is the matrix positive definite? (b) For the particular value c...
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positive definite?
(b) For the particular value c = 3, carry out elimination to find the factorization A = LDLT.
(c) Use your result from part (b) to rewrite the quadratic form q(x, y, z) = x2 + 2xy + 3y2 + 2yz + Z2 as a sum of squares.
(d) Explain how your result is related to the positive definiteness of A.
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a Gaussian Elimination leads to U the pivots 1 c 1 ...View the full answer
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