[Proof] A Is Zero Matrix If tr(AA^T) = 0

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Proof that A is a zero matrix if the trace of A times A transpose is zero.

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Thanks this really helped me, I couldn't find any other proof of it in spanish <3

malacia_
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My textbook using this conclusion without proving it, thank to this video, Make me realize my textbook doesn't bullshit me!

counterko
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THX, u really save me for my homework

yiranwu
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Can you prove that, if A^TA=0 then A=0, A is square of n order.

joaquinramirez