Question: a) Determine the LU decomposition without pivoting by hand for the following matrix and check your results by validating that [LJU IAJ. 3 7 2

a) Determine the LU decomposition without pivoting by hand for the following matrix and check your results by validating that [LJU IAJ. 3 7 2 39 b) Employ the result of (a) to compute the determinant c) Repeat (a) and (b) using MATLAB d) Determine the LU decomposition with pivoting by hand for the following matrix and check your results by validating that LIJUJ-PIAj where P is the permutation matrix. 3 7 2

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