Find an LU factorization for A if one exists. Note that some computer algorithms

Question

Find an LU factorization for A if one exists. Note that some computer algorithms do not compute LU factorizations in the same manner as presented here, so use caution. (A graphing calculator is recommended. Find L such that it has all 1's along the diagonal. If not possible, enter DNE into any cell of each matrix.)

Find an LU factorization for A if one exists. Note that some computer algorithms do not compute LU factorizations in the same manner as presented here, so use caution. (A graphing calculator is recommended. Find L such that it has all 1's along the diagonal. If not possible, enter DNE into any cell of each matrix.) -15 -3 21 -10 13 24 L 5 10 -50J U=

Explanation / Answer

Following is the result of my calculation:

Matrix U:
-15.0000 -3.0000 21.0000
0.0000 15.0000 10.0000
0.0000 0.0000 -49.0000

Matrix L:
1.0000 0.0000 0.0000
0.6667 1.0000 0.0000
-0.3333 0.6000 1.0000
-0.3333 -0.4000 -0.5714

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