A Solve The Following System Of Equation By Lu Decomposition

(a) Solve the following system of equation by LU decomposition without pivoting

8×1 + 4×2 – x3 = 11

–2×1 + 5×2 + x3 = 4

2×1 – x2 + 6×3 = 7

(b) Determine the matrix inverse. Check your results by verifying that [A] [A]-1 = [I].

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