- #1
johndoe3344
- 29
- 0
B= A transpose
What is the relation between ker(BA) and ker(A)? I was told that they are equal to each other, but I can't figure out why.
ker(A) => Ax = 0
ker(BA) => BAx = 0 so that BA is a subset of A. This shows that ker(BA) =0 whenever ker(A) = 0, but how does this also show that they are equal?
What is the relation between ker(BA) and ker(A)? I was told that they are equal to each other, but I can't figure out why.
ker(A) => Ax = 0
ker(BA) => BAx = 0 so that BA is a subset of A. This shows that ker(BA) =0 whenever ker(A) = 0, but how does this also show that they are equal?