Is There a Method to Find the Inverse of a Singular Matrix?

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Discussion Overview

The discussion centers around the question of whether there is a method to find the inverse of a singular matrix, exploring the definitions and implications of singularity in matrices. It touches on theoretical aspects of linear algebra and the properties of matrices.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant asserts that by definition, a singular matrix is non-invertible, suggesting that the original question does not make sense.
  • Another participant humorously suggests that finding the inverse of a singular matrix is akin to finding a "square circle," implying it is impossible.
  • A different viewpoint claims that any matrix can be inversed, referencing external links and indicating that methods exist for non-singular matrices, but not exclusively for them.
  • One participant proposes the Moore-Penrose pseudoinverse as a potential method for dealing with singular matrices.

Areas of Agreement / Disagreement

Participants generally disagree on the possibility of finding an inverse for singular matrices, with some asserting it is impossible while others suggest alternative approaches like the pseudoinverse.

Contextual Notes

The discussion does not resolve the mathematical implications of singular matrices and their inverses, nor does it clarify the conditions under which alternative methods might apply.

AsadHanif
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Hi

I want to find inverse of singular matrix...
Is there any method to find it?

Please help me out...

Thanks in advance...
 
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Any idea why your question doesn't make any sense at all?
 
AsadHanif said:
Hi

I want to find inverse of singular matrix...
Is there any method to find it?

Please help me out...

Thanks in advance...


By definition, a singular matrix is a non-invertible square matrix. Your question makes no sense.
 
Step one: Find a square circle...
 
Any matrix can be inversed. See the link
http://web.mse.uiuc.edu/group/downloads/Aftab/Vufoils%20from%20Hang%20Xiao%202-2-10/euclid.bsmsp.1200514113.pdf

In case of non singular square matrix it is done by the most recognized method.( Butb thgat does not mean only non singular matrix can be inversed)
For the java implementation of this method can see
http://commons.apache.org/math/api-1.2/org/apache/commons/math/linear/RealMatrix.html

Regards
Rajhans
 
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