Sunday, April 23, 2023

Rank

 Continuing on yesterday's matrix discussion, the notion of matrix

rank is useful. One could have a three-row matrix with insufficient

information to generate a unique solution; one row might be a simple 

multiple of the other, or the result of one minus the other, or of an

addition...A computer would know after going through Gaussian

elimination!

                                   *     *     *




                                                       *     *     *

                                                          

                                                                   

The rank of a matrix is known after Gaussian elimination but Gauss-Jordan -

more computationally expensive - reduces the leading coefficients to 1s!


                                                            



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