A vector z E R\" is said to be orthogonal to the subspace W C Rn if it is orthog

Question

A vector z E R" is said to be orthogonal to the subspace W C Rn if it is orthogonal to every vector in W, so The orthogonal projection of a vector v ER" onto the subspace Wis the vector w E W that makes the difference z v w orthogonal to W. (a) If u formas a basis for the subspace W, show that the orthogonal projection of a vector V u v E R" onto the subspace W is w u. ull2 (b) If vectors tu1, u2 form an orthogonal basis for W, find the orthogonal projection w of a vector v E R" in terms of u1, u2.

Explanation / Answer

you should give up man

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