A simple question as posed in the title, this is guaranteed by LAPACK
The factorization has the form
A = P * L * U
where P is a permutation matrix, L is lower triangular with unit diagonal
elements (lower trapezoidal if m > n), and U is upper triangular (upper
trapezoidal if m < n).but is not part of the official Julia documentation. Just wanted to make sure that was the case because it's a useful feature in understanding the null space of the matrix
