Question: Full solution and answer Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary

Full solution and answer

Solve the equation Ax = b by using the LU factorization given for A. Also solve Ax = b by ordinary row reduction. 3 -6 -3 1 0 0 3 -6 -3 0 A = -3 3 2 - 1 10 0-3-1 ,b= -7 9-6 -6 3 -4 1 0 0 -1 33 Let Ly = b and Ux = y. Solve for x and y. y X = Row reduce the augmented matrix [A b] and use it to find x. The reduced echelon form of [A b] is , yielding x =

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