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How do find Inverse to Rectangular Matrix?

Muthukumar M's picture

Dear All,

How do find the inverse of the rectangular matrix.


Muthukumar M's picture

Muthu Kumar M

Thiyagarajan Dev's picture

Requirements to have an Inverse

  1. The matrix must be square (same number of rows and columns).
  2. The determinant of the matrix must not be zero .
    This is instead of the real number not being zero to have an inverse, the determinant must not
    be zero to have an inverse.

A matrix that does not
have an inverse is called singular. A Rectangular matrixis a singular matrix which means it does not have an inverse.

Hope I have answered you.



Thiyagarajan Dev.

T.ZENG's picture



LU decompostion may be an efficient numerical method, you can find its algorithm in "numercial recipes

Alejandro Ortiz-Bernardin's picture

An inverse of a rectangular matrix is still viable. Search for Moore-Penrose inverse, Generalized inverse or Pseudoinverse. I think the latter is used in Matlab.

Singular value decomposition (SVD) might also be helpful. You can look it up in "Numerical recipes".

grezaamigo's picture

as other friend mentioned...simply by using (svd).try it with matlab.

svd([your matrix])

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