# Untitled

## 2279 days ago by math2013

A=matrix(QQ,4,5,[1,-2,1,1,2,0,1,1,3,4,1,2,5,13,5,-1,3,0,2,-2]) B=A.transpose() print A.echelon_form() print B.echelon_form() print A.rank() print B.rank() print A.rank()==B.rank()
 [1 0 3 7 0] [0 1 1 3 0] [0 0 0 0 1] [0 0 0 0 0] [ 1 0 0 -17/13] [ 0 1 0 -3/13] [ 0 0 1 4/13] [ 0 0 0 0] [ 0 0 0 0] 3 3 True [1 0 3 7 0] [0 1 1 3 0] [0 0 0 0 1] [0 0 0 0 0] [ 1 0 0 -17/13] [ 0 1 0 -3/13] [ 0 0 1 4/13] [ 0 0 0 0] [ 0 0 0 0] 3 3 True