Show that if w = (a, b, c) is a nonzero vector, then the standard matrix for the

Chapter 6, Problem 28

(choose chapter or problem)

Show that if w = (a, b, c) is a nonzero vector, then the standard matrix for the orthogonal projection of R3 onto the line span{w} is P = 1 a2 + b2 + c2 a2 ab ac ab b2 bc ac bc c2

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