(b) 21 14 Consider the vector space R and the function (x, y) = 30141 +40212 +1393, for x = (31,12,13), y = (91, 92, 93)

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B 21 14 Consider The Vector Space R And The Function X Y 30141 40212 1393 For X 31 12 13 Y 91 92 93 1 (23.37 KiB) Viewed 22 times

(b) 21 14 Consider the vector space R and the function (x, y) = 30141 +40212 +1393, for x = (31,12,13), y = (91, 92, 93) ERY. (a) Show that the given function (-;-) defines an inner product on R3. 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. (a) Find a basis for the orthogonal complement of {(-2,3,1)) with respect to the inner product (-). {(**) ()} 0 (c) The vector w = (3.-5.) belongs to Span(B). Using (b), write w as a linear