Question

Show that (u, u2 ub) is an orthogonal basis for R Thon express as a inear of the u's Which of the following cniteria are necessary for a set of vectors to be an orthogonal basis for a subspace W of IR? Select all that apply A. The vectors must span W B. The vectors must all have a length of 1 D C. The distance between any pair of distinct vectors must be constant D. The vectors must form an orthogonal set Which theorem could help prove one of these criteria from another? OA Irs-(u 4) is an orthogonal set of nonzero vectors in R" then S s inearly indopendent and hence is a bass for the subspace spannod by S ОВ. lfs- u," up} and each u, has length 1,then Sis an orthogonal setend hence is a basis for the subspace spanned by S О с. It s ul up} and the distance between any pair of distinct vectors s constant, then the vectors are eventy spaced and hence form an orthogonal set OD iS-) s a basis in RP, then the members of S span RP and hence torm an orthogonal set Click to select your answer(s)

Answer 1

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