# ch.7 ex.6

## 579 days ago by g1.kjiwon

A=matrix(6,5,[1,2,0,2,5,-2,-5,1,-1,-8,0,-3,3,4,1,3,6,0,-7,2,0,0,0,0,2,0,0,0,-1,0]) B=A.transpose() print B.rref()
 [ 1 0 0 -63/5 0 -6/5] [ 0 1 0 -39/5 0 -3/5] [ 0 0 1 13/5 0 1/5] [ 0 0 0 0 1 1/2] [ 0 0 0 0 0 0] [ 1 0 0 -63/5 0 -6/5] [ 0 1 0 -39/5 0 -3/5] [ 0 0 1 13/5 0 1/5] [ 0 0 0 0 1 1/2] [ 0 0 0 0 0 0]
A.column_space()
 Free module of degree 6 and rank 4 over Integer Ring Echelon basis matrix: [ 1 0 1 -10 0 -1] [ 0 1 3 0 0 0] [ 0 0 5 13 0 1] [ 0 0 0 0 2 1] Free module of degree 6 and rank 4 over Integer Ring Echelon basis matrix: [ 1 0 1 -10 0 -1] [ 0 1 3 0 0 0] [ 0 0 5 13 0 1] [ 0 0 0 0 2 1]