- #1

SNOOTCHIEBOOCHEE

- 145

- 0

## Homework Statement

Prove that for any square matrix A, ker A= (im A*)

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## Homework Equations

A* = A conjugate transpose

## The Attempt at a Solution

so we want to show that all A that satisfies Ax=0 for some x, that set is equal to (im A*)

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But i really don't know what image of this could possibly be... we arent given a function.