Matrix inverse using linear algebra
Consider the set of equations:
3x + 4y = 7
6x + 4y = 10
These can be represented by a matrix as:
AX = C
This can be solved by using the following operations:
Basically, take a row and eliminate one of its columns by subtracting a suitable multiple of any one row.
Then move onto other row and eliminate some other cell.
For a matrix with NxN cells and N values, N cells will remain after all such transformations.
Then each value can be found easily by normalizing each number-pair in each row as shown above.
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