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[SOLVED] Kernel and Image
Ker(A) = Im(B)
AB = ?
A is an m x p matrix. B is a p x n matrix.
Since Ker(A) is the subset of the domain of B and Im(B) is the subset of the codomain of B, AB = I. I = identity matrix.
Is this right? It doesn't seem to make sense. There must be a mathematical (symbolic) way to solve for AB, right?
Homework Statement
Ker(A) = Im(B)
AB = ?
A is an m x p matrix. B is a p x n matrix.
Homework Equations
The Attempt at a Solution
Since Ker(A) is the subset of the domain of B and Im(B) is the subset of the codomain of B, AB = I. I = identity matrix.
Is this right? It doesn't seem to make sense. There must be a mathematical (symbolic) way to solve for AB, right?