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V is in inner product space over F and U is subspace. $p=P_u(v)$. I need to prove or disprove by an example that:

  1. $||v||=||p||$

  2. $=$

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    can you help me in what ||p|| is??2012-12-04

1 Answers 1

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Hint: ad 1. What do you know about $\ker P_U$? Can a $v\in\ker P_U$ fulfill 1.?

ad 2. What does it mean for $P_U$ to be an orthogonal projection? Can you say something about $P_U(v-p)$?

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    didnt understand for 1...2012-12-04