Solved: Let IV be a subspace of an inner product space V and let {WI. w, .. . .. w/O J

Chapter 5, Problem 29

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Let IV be a subspace of an inner product space V and let {WI. w, .. . .. w/O J be an otthogonal basis for IV. Show that if v is any vector in V. then . (II. WI) (II. W2) proJ wll = (WI. WI) WI + (W2. ',1,' 2) ',1,'2 + . . (II . W,n) + (W", . W/O ) ',1,' ", .

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