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

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대호 2023-5-13

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回答： Sai 2023-5-17

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

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Dyuman Joshi 2023-5-13

Please show what have you tried yet.

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

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Sai 2023-5-17

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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

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