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**[SOLVED] Kernel and Image**

**1. Homework Statement**

Ker(A) = Im(B)

AB = ?

A is an m x p matrix. B is a p x n matrix.

**2. Homework Equations**

**3. 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?