Recent content by aanabtawi

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    A'A and A have the same null space

    It is, sorry for not making that clear!
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    A'A and A have the same null space

    I'm trying to prove that the null space of A'A is the null space of A, this is what I have so far, 1) A'Ax=0, non trivial solutions are a basis for the null space of A'A 2) x'A'Ax=0 3) (Ax)'Ax=0 4) Since (Ax)'A is a linear combination of the col's of A, we see that the null space of...
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    How to Prove the Vector Identity Involving Curl and Dot Product Operations?

    Homework Statement Prove that: ∇×(a∙∇a) = a∙∇(∇×a) + (∇∙a)(∇×a) - (∇×a)∙∇a Homework Equations Related to the vorticity transport equation. The Attempt at a Solution Brand new to index/tensor notation, any suggestions on where to begin? For example, I am having trouble...
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