- #1
SNOOTCHIEBOOCHEE
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Homework Statement
Prove that for any square matrix A, ker A= (im A*)[tex]\bot[/tex]
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*)[tex]\bot[/tex]
But i really don't know what image of this could possibly be... we arent given a function.