Calculate the inverse of a matrix
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Hello, i want to calculate the reverse of this matrix :
1 -1 0 0
-1 1 0 0
0 0 1 -1
0 0 -1 1
but I get the following result :
Inf Inf Inf Inf
Inf Inf Inf Inf
Inf Inf Inf Inf
Inf Inf Inf Inf
what are your suggestion? Thanks.
3 件のコメント
Brendan Hamm
2016 年 9 月 14 日
This is a singular matrix, as can be seen by the linear dependence of columns:
X(:,1) == -X(:,2)
and
X(:,3) == -X(:,4)
採用された回答
John D'Errico
2016 年 9 月 14 日
This is a singular matrix. No matter how badly you want to do so, you cannot invert a singular matrix. Not possible. Never will be. The laws of mathematics are simple in this respect. The inverse does not exist. You cannot form what does not exist.
At best, you can use pinv, to compute a pseudo-inverse. It is NOT an inverse. It does not have the properties of an inverse.
5 件のコメント
Valentin Marinov
2021 年 1 月 23 日
編集済み: Valentin Marinov
2021 年 1 月 23 日
Sure. Here's a video that explains it good enough: https://www.youtube.com/watch?v=5bxsxM2UTb4. The example is at 3:30. I'm no pro so don't think I know how to use this in real life, but the guy explains the idea pretty good and tells the matlab funtions, you can use to simulate the actions he explains. Hope it helps you out.
EDIT: just saw the post is from 2016, so I assume you don't need that anymore, but I'll leave it just in case.
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