1. Use the LU factorization of A to solve the linear system Ax=b.
A=LU=1−32011001−700210235=−721−142−552−312,b=3−14
x1=3
−3x1+x2=−1
2x1+x2+x3=4
x2=8
x3=−10
2. Find the LU factorization of the following matrices:
A=[28−1−1]
[20−13]
B=24−2−11401−1
200−13001−2
3. Find the LDU factorization of
B=24−2−11401−1
L=12−1011001 D=20003000−2 U=100−21100311