Does anyone have a C or C++ code that can calculate the inverse of nxn matrix?
How to calculate the inverse of nxn matrix using C/C++?
you can make the calculation with the kramer's rule
Given a 3x3 matrix M:
| A B C |
| |
M = | D E F |
| |
| G H I |
Then the determinant is calculated as follows:
n
---
\ i
det M = / M * submat M * -1
--- 0,i 0,i
i=1
where
submat M defines the matrix composed of all rows and columns of M
ij
excluding row i and column j. submat may be called recursively.
ij
| A B C |
M = | D E F | becomes submat = | E F |
| G H I | 11 | H I |
If the determinant is non-zero then the inverse of the matrix exists.
In this case, the value of each matrix element is defined by:
-1 1 i+j
M = ----- * det submat M * -1
j,i det M i,j
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