Using naive Gaussian elimination, factor the matrix 3 0 3 A =0 -1 3 1 3 0 in the form A = LU, where Lis a unit lower triangular matrix and U is an upper triangular matrix. 3 0 3 0 -1 3 0 0 8 1 0 0 1 0 and U = -1/3 3 1 1 0 0 1 0 and U 1/3 -3 1 L = 0 0 303 L =| 10 and U = 013 - 1/3 3 1 0 0 8 0 0 L= 1/3 1 0 and U = 3 0 3 0 -13 0 0 8 1 -3 1

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