How to use the lu decomposition to make matrix become invers

How to use the lu decomposition to make matrix become inverse matrix in Matlab. plz show the code

Solution

>> A=[1 2 -1;4 3 0;1 -1 3];

>> [L,U,P]=lu(A);

>> B=inv(U)*inv(L);

Where B is the inverse of A

OUTPUT

>> A=[1 2 -1;4 3 0;1 -1 3]

A =

1 2 -1
4 3 0
1 -1 3

>> [L,U,P]=lu(A)

L =

1.0000 0 0
0.2500 1.0000 0
0.2500 -0.7143 1.0000


U =

4.0000 3.0000 0
0 -1.7500 3.0000
0 0 1.1429


P =

0 1 0
0 0 1
1 0 0

>> B=inv(U)*inv(L)

B =

0.6250 -0.3750 -1.1250
-0.5000 0.5000 1.5000
-0.3750 0.6250 0.8750

How to use the lu decomposition to make matrix become inverse matrix in Matlab. plz show the codeSolution>> A=[1 2 -1;4 3 0;1 -1 3]; >> [L,U,P]=lu(A

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