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Lin Alg: Showing that A-transpose x A is invertible

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Uploaded by on Nov 9, 2009

Showing that (transpose of A)(A) is invertible if A has linearly independent columns

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  • I think the proof is wrong! v must be a k-component column vector since it can multiply A, and vector 0 must has n components. Accordingly, the transpose of v, which must be a k-component row vector, just cannot be multiplied by vector 0 if k is different from n.

  • success

    

  • I'm from the UK and I love what you're doing here. Keep up the great work!

  • So if n>k, the nxn matrix A*A^t isn't necessarily invertible. right? in any case you couldn't use the argument of the columns of A^t being lin. ind.

  • I fucking hate linear algebra

  • Never learned matrixes.

  • good video as always

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