Let u 1 , ,u p be an orthogonal basis for a subspace W of R n , and let T R n R n be defined by T(x) proj w x Show that T is a linear transformation

Question: Let u 1 ,...,u p be an orthogonal basis for a subspace W of R n , and let T : R n R

Let u₁,...,u_p be an orthogonal basis for a subspace W of Rⁿ, and let T : Rⁿ→ Rⁿ be defined by T(x) = proj_w x. Show that T is a linear transformation.

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