(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that for any square matrix A, ker A= (im A*)^{[tex]\bot[/tex]}

2. Relevant equations

A* = A conjugate transpose

3. 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*)^{[tex]\bot[/tex]}

But i really dont know what image of this could possibly be... we arent given a function.

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# Homework Help: The Spectral Theorem

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