# Linear Algebra: Theory and Applications
# Ward Cheney & David Kincaid
# JBPub.com (c) 2008 
# File: exp8210.map
# Example 8.2.10

with(LinearAlgebra):
A := Matrix([[4,-1,-1,0],[-1,4,0,-1],[-1,0,4,-1],[0,-1,-1,4]]);
L := LUDecomposition(A,method='Cholesky');
L.Transpose(L)