Mathematics, 20.09.2019 22:20 ezequiel2k

Suppose v = span( v) c r". show that there are vectors w1 , . , wk e v that are mutually orthogonal (i. e., wi wi =0 whenever i j) that also span v. (hint: let w1 = v1. using techniques of section 2, define w2 so that span(w, w2) = span (v1, v2) and wi w2 = 0. continue.)

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Suppose v = span( v) c r". show that there are vectors w1 , . , wk e v that are mutually orthogonal...