Modify the LDL' factorization to factor a symmetric matrix A. [Note: The factorization

Chapter 6, Problem 14

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Modify the LDL' factorization to factor a symmetric matrix A. [Note: The factorization may not always be possible.] Apply the new algorithm to the following matrices: a. 3 -3 6 ' 3-6 9 -3 2 -7 b. A = -6 14 -20 6 -7 13 _ 9 -20 29 _ ' -1 2 0 1 2-2 4 -4 2-3 2- 1 d. A = -2 3 -4 5 0 2 5 6 4 -4 10 -10 1-16 12 -4 5 -10 14

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