Talk:Orthogonal projection

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Doesn't the formula become the identity matrix?

M(M^\top M)^{-1}M^\top = M M^{-1}{(M^\top)}^{-1}M^\top = E

-- Bernhard Bauer


No, because M is not a square matrix, but rather M has (typically many) more rows than columns. Michael Hardy 19:05, 19 Apr 2004 (UTC)

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