For this problem enter matrices using bracket notation So th

For this problem enter matrices using bracket notation. So the matrix [2 3 -1 -2 -5 6] would be entered as [[2, 3, -1], [-2, -5, 6]]. Find an LU factorization for [-9 -3 3 15 -9 -19 18 18 -6 21 13 8] L = U =

Solution

we obtain L = [ [ 1,0,0 ] ,[ 0.7143,1,0 ] , [ 0.8571, -0.375,1 ] , [ -0.4286,-0.1406,-0.1335] ]

U = [ [ 21,13,8] , [0,-18.2857, -24.7413 ] ,[ 0,0,-22.125] ]

L - lower triangular matrix

1.0000 0.0000 0.0000
0.7143 1.0000 0.0000
0.8571 -0.3750 1.0000
-0.4286 -0.1406 -0.1335

U - upper triangular matrix

21.0000 13.0000 8.0000
0.0000 -18.2857 -24.7143
0.0000 0.0000 -22.1250