I have a m x n rectangular matrix A for which n > m. Given the rank r <= m of A, the reduced QR decomposition yields matrix Q with m x r dimensions, and R with r x n dimensions. The columns of Q are an orthonormal basis for the range of A. R will be upper triangular but in a staircase pattern. Columns in R with a pivot correspond to independent columns in A.I have a m x n rectangular matrix A for which n