Hello guys i want to know exactly what is the difference between the right and left inverse. I Know that:
If B is the right inverse of A then there is at least one solution for Ax=b
If B is the left inverse of A then there is at most one solution for Ax=b.
I want to know if B is the left inverse does it still imply that A can have infinitely many left inverses.
if it does how come there can only be at most one solution.
one more thing is it the right way if I want to find the left inverse of a matrix A to transpose it,say B.A turn it into, (A^T).(B^T) and then solve.