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Problem 6 A bilinear pairing on R2 is given on basis vectors by <ei, ei >=...

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Problem 6 A bilinear pairing on R2 is given on basis vectors by <ei, ei >= 13; <ei, e2 >=< e2, ej >= 7; <e2,e2 >= 26 a) [3 pt

Problem 6 A bilinear pairing on R2 is given on basis vectors by <ei, ei >= 13; <ei, e2 >=< e2, ej >= 7; <e2,e2 >= 26 a) [3 pts) Find the matrix representation of the pairing. b) (4 pts) Explain why the bilinear pairing defines an inner product. c) [3 pts) If v = [5 – 3]T, find a non-zero vector w with < v, w >= 0

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belineat peiring 9 Problem 6: A bilinear on 1R is given vectors by Xe, geq) = 13; Legea>=< €299,7=7 Legg >=26 a) First we def3 b) Definition C Inner product) det vbe a vector Space over IR. An inner product & ,> is a function VXV IR with 1. tu EV , C= 1390, 93 + 13 b X M₂ +79y, dz + Hlay, X3 + 70214877b4243 +2697,93726by: 43 a(139x, +7y, J&3 + (78, +264 D43] + b[C132, + 7b

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