Is there a method to find QR factorization for ill conditioned matrix... here the matrix (eye($3$) and geographical $xyz$ coordinate) $n*7$ matrix
1 0 0 0 -4.2495e+06 1.0366e+06 4.6289e+06 0 1 0 4.2495e+06 0.0 -4.6289e+06 1.0366e+06 0 0 1 -1.0366e+06 4.6289e+06 0 4.2495e+06 1 0 0 0 -4.2495e+06 1.0371e+06 4.6287e+06 0 1 0 4.2495e+06 0 -4.6287e+06 1.0371e+06 0 0 1 -1.0371e+06 4.6287e+06 0 4.2495e+06 1 0 0 0 -4.2495e+06 1.0376e+06 4.6286e+06 0 1 0 4.2495e+06 0 -4.6286e+06 1.0376e+06 0 0 1 -1.0376e+06 4.6286e+06 0 4.2495e+06
structure of the matrix : identity $3\times 3$ terms with $10^6$.
Thank you.