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Does a least squares solution to $Ax=b$ always exist?

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    Relevant: http://en.wikipedia.org/wiki/Moore%E2%80%93Penrose_pseudoinverse#Linear_least-squares (P.S. I didn't vote.)2011-10-13
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    Sorry, I don't really understand what is written on wiki. So, is the answer affirmative or not?2011-10-13
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    Quoting the Wikipedia page: "The pseudoinverse solves the least-squares problem as follows..."2011-10-13

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