2- Explain why the following linear systems are positive definite, then solve them using the Cholesky LU decomposition method. (a) 6 15 55 X 76 15 55 225 y = 295 55 225 979 Z 1259 4 2 14 X 14 2 17 -5 y = -101 14 -5 83 155 (b) N

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