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ESC 352 HW 3 Due: Feb. 14

(10 pts) Solve the linear system

\begin{displaymath}\begin{array}{rrr} x_1 + 3x_2 + 2x_3 &=& 2 \\
-2x_1 -5x_2 -3x_3 &=& -3 \\
3x_1 + 11x_2 + 10x_3 & = & 12 \end{array} \end{displaymath}

using the process developed in class (don't do any row swapping). In particular do the steps below (show all work):
a)
Compute the LU factorization of A. Explicitly state the L and U matrices. Verify that $L\cdot U = A$
b)
Solve Lz = b for z.
c)
Solve Ux = z for x.





2018-02-12