# Orthogonal projection

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Definition 11.1 An orthogonal projection operator is a linear transformation such that and .

Question:

If W is a subspace of V, prove that P_w is an orthogonal projection.

(P_w is P sub w)

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The orthogonal projection: satisfies: ,

Suppose is a subspace of , show that is also ...

#### Solution Summary

This is a proof regarding linear transformations and orthogonal projections are provided. The subspace with projections are examined.

$2.19