Recent content by MichaelL.
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Graduate Column Space of A'*A: Subset of A'?
Well, I figured it out if anyone is interested. Using the argument here (http://en.wikipedia.org/wiki/Rank_%28linear_algebra%29) under rank of a "Gram matrix" with real entries and the rank + nullity equals number of columns theorem you can show the rank of A equals the rank of A'*A. Thus, the...- MichaelL.
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- Forum: Linear and Abstract Algebra
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Graduate Column Space of A'*A: Subset of A'?
Let A be an n x p matrix with real entries and A' be its transpose. Is the column space of A'*A the same as the column space of A'. Obviously, the column space of A'*A is a subset of the column space of A' but can I show the other way? Thanks!- MichaelL.
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- Column Column space Space
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- Forum: Linear and Abstract Algebra