Knowing an LU-factorization of a matrix A makes it much easier to solve a linear
Chapter 2, Problem 91(choose chapter or problem)
Knowing an LU-factorization of a matrix A makes it much easier to solve a linear systemAx = b.Consider the LU-factorizationSuppose we have to solve the system Ax = LUx = b, where "-3 14 9 33 b =a. Set y = Ux, and solve the system Ly = b, by forward substitution (finding first y\, then y2, etc.). Do this using paper and pencil. Show all your work. b. Solve the system Ux = y, using back substitution, to find the solution x of the system Ax = b. Do this using paper and pencil. Show all your work.
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