A=matrix(QQ,[[1,2,0,2,5],[-2,-5,1,-1,-8],[0,-3,3,4,1],[3,6,0,-7,2]])
print A
print A.rank()
B=matrix(QQ,[[1,-2,0,3],[2,-5,-3,6],[0,1,3,0],[2,-1,4,-7],[5,-8,1,2]])
print B
print B.echelon_form()
print B.right_nullity()
print B.rank()
|
|
[ 1 2 0 2 5]
[-2 -5 1 -1 -8]
[ 0 -3 3 4 1]
[ 3 6 0 -7 2]
3
[ 1 -2 0 3]
[ 2 -5 -3 6]
[ 0 1 3 0]
[ 2 -1 4 -7]
[ 5 -8 1 2]
[ 1 0 0 -63/5]
[ 0 1 0 -39/5]
[ 0 0 1 13/5]
[ 0 0 0 0]
[ 0 0 0 0]
1
3
[ 1 2 0 2 5]
[-2 -5 1 -1 -8]
[ 0 -3 3 4 1]
[ 3 6 0 -7 2]
3
[ 1 -2 0 3]
[ 2 -5 -3 6]
[ 0 1 3 0]
[ 2 -1 4 -7]
[ 5 -8 1 2]
[ 1 0 0 -63/5]
[ 0 1 0 -39/5]
[ 0 0 1 13/5]
[ 0 0 0 0]
[ 0 0 0 0]
1
3
|