We can't find the inverse of a singular matrix because |A|=0.But there should be an inverse for singular matrix as well, right?Is there any way to find the increase ofa singular matrix?

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Solution

In practical terms you cannot invert a singular matrix. Depending on the right-hand vector there may, however, be a solution to the system of equations but this will not be unique. Singular Value Decomposition (SVD) is a good way of examining your matrix and a generalised inverse approach such as Moore-Penrose will enable you to get a solution if your RHS is consistent.

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