Find the variable vector x using the LU decomposition of the following linear system. (Please also write Matlab programming code.)

Find the variable vector x using the LU decomposition of the following linear system. (Please also write Matlab programming code.)

[Dyuman Joshi]

Please show what have you tried yet.

If you need help to begin with, check out the LU matrix factorization documentation - lu

Answer 1

[Sai]

Hi 대호 권,

I understand that you wanted to determine the variable x using LU decomposition method.

Please refer to the below code snippet for the same

A = [-1 1 2; 1 2 -1; -2 -2 2]
c = [7;2;0]
[L,U] = lu(A)
%In LU Decomposition, LUX = c
D = L*U
x = (D)\c

Please refer to the following documentation link for more information on LU decomposition

https://in.mathworks.com/help/releases/R2021b/matlab/ref/lu.html?searchHighlight=lu%20decomposition&s_tid=doc_srchtitle