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I have the following question which does not violate honor code. How do you prove that ( A T A ) 1 A 2 =

I have the following question which does not violate honor code. How do you prove that

(ATA)1A2=n1

Where A is a square invertible matrix and n is the minimum singular value. I'm mainly looking to see how you factor the norm. Do you need SVD? I now that ||A^-1|| = 1/sigma_n.

By the way this course hero AI needs to be revised.

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