Consider the matrix A given by A 1 1 2 4 0 1 3 1 3 Find the

Consider the matrix A given by A = [1 -1 2 4 0 1 -3 1 -3] Find the LU-factorization of A (without pivoting). Use the LU-factorization found in (a) to find the determinant of A. Use the LU-factorization found in (a) to find the first, column of A^-1. Check that your results in (b) and (c) are correct using MATLAB. Include a write-up or printout of your Matlab code used, as well as a write-up or printout of the output created.

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