Conversely, given a basic feasible solution, the columns corresponding to the nonzero variables can be expanded to a nonsingular matrix.
2.
Normally, multiplication by a square, nonsingular matrix is one-to-one and onto, but because RGB and YUV values are constricted on an interval, the transform can overflow.
3.
In other words, the components of a vector transform " contravariantly " ( with respect to the inverse ) under a change of basis by the nonsingular matrix " A ".
4.
While India s first first-generation ( using electronic valves ) computer TIFRAC ( Tata Institute of Fundamental Research Automatic Computer ) was designed and developed in TIFR, which was used by Professor G . N . Ramachandran, FRS to invert a nonsingular matrix of order 8.