How do you find the inverse of a matrix without the inv() command?

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Connor Lance
Connor Lance 2022-3-5
评论： Paul 2022-3-6
So I know the easiest way to find the inverse of a matrix is just simply using the inv() command but I wanted to know if there was a long form method. Specifically is there a way to code the rearranging of the values in a matrix?
from [a b;c d] ====> to [d -b;-c a]

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Matt J
Matt J 2022-3-5
编辑：Matt J 2022-3-5
There is this File Exchange contribution:
https://www.mathworks.com/matlabcentral/fileexchange/12692-adjugate-adjoint-of-a-square-matrix?s_tid=srchtitle
Example,
>> A=[1,2;3,4]
A =
1 2
3 4
>> adjugate(A).'
ans =
4.0000 -3.0000
-2.0000 1.0000
  2 个评论
Paul
Paul 2022-3-6
Ran in:
The Symbolic Math Toolbox has function that computes the adjugate. It works for doubles
A = [1 2;3 4];
adjoint(A)
ans = 2×2
4.0000 -2.0000 -3.0000 1.0000

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