# Orthogonal Projection Matrix Theory

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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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...gonal projection.

Proof: Suppose is a base of . We can extend the base to the base of which is . Suppose is the matrix of ...