Decompose a matrix to linearly independent rows and columns.
|mat||The input matrix.|
|return value||An object containing 2 matrices: rows - for independent rows, cols - for independent columns.|
Any matrix can be decomposed this way. The product of them results in the original matrix.
The function retuns an object containing:
- cols: A matrix with linearly independent columns.
- rows: A matrix with linearly independent rows.
If the returned object is stored in variable a, then a.cols*a.rows == mat.