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    Orthogonal projection proof

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    Consider R^p with the standard inner product....Prove that the orthogonal projection...is a linear transformation...Is the transformation one-to-one (injective)? Is the transformation onto (surjective)? Justify your answers.

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    https://brainmass.com/math/linear-transformation/orthogonal-projection-proof-218164

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    This provides an example of completing a proof with an orthogonal projection and linear transformation.

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