Question: O -2 A := -2 1 6 3 -2 -5 (a) Find the LU decomposition of A. (10 points) (b) Use part (a) to solve

O -2 A := -2 1 6 3 -2 -5 (a) Find the LU decomposition of A. (10 points) (b) Use part (a) to solve Ax1 = e1, Ax2 = e2, Ax3 = e3 for the three 1 0 OO 3 x 1 vectors X1, X2, X3, where e1 = , e2 = 1 , and e3 = (10 points) (c) Why is it that A-1 = (x1 22 23)? (10 points)

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