(a) Determine the LU factorization without pivoting by hand for the following matrix and check your results...

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(a) Determine the LU factorization without pivoting by hand for the following matrix and check your results by validating that [L][U] = [A].

(b) Employ the result of (a) to compute the determinant.
(c) Repeat (a) and (b) using MATLAB.

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