Question: Use LU decomposition to determine the matrix inverse for the following system. Do not use a pivoting strategy, and check your results by verifying that

Use LU decomposition to determine the matrix inverse for the following system. Do not use a pivoting strategy, and check your results by verifying that [A] [A]-1 = [I].

10x1 + 2x2 – x3 = 27

–3x1 – 6x2 + 2x3 = – 61.5

x1 + x2 + 5x3 = – 21.5

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