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(b) 21 14 Consider the vector space R3 and the function (,y) = 30 191 + 4x242 +1393, for x = (*1, 12, 13), y = (91, 92,
Posted: Wed May 11, 2022 9:34 pm
by answerhappygod
- B 21 14 Consider The Vector Space R3 And The Function Y 30 191 4x242 1393 For X 1 12 13 Y 91 92 1 (23.36 KiB) Viewed 25 times
(b) 21 14 Consider the vector space R3 and the function (,y) = 30 191 + 4x242 +1393, for x = (*1, 12, 13), y = (91, 92, 93) E R'. (a) Show that the given function (,) defines an inner product on R3. 77 77 2V21 V21 Show that B = is an orthonormal basis of Span(B) with respect to the inner product w 3 combination of the vectors in B. (d) Find a basis for the orthogonal complement of {(-2, 3,1)) with respect to the inner product (-). (c) The vector w = (3.-4.0) belongs to Span(B). Using (b), write w as a linear