2. Let V = R, equipped with the dot product. Let V = -1 {(:) X1...

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2. Let V = R³, equipped with the dot product. Let V = -1 {(:) X1 (a) Show that v- x2 x1 = x3 [4] x3 (b) Deduce that v- = (e2, e1 + e3). (c) Use the fact that (v) = (v-)- to determine a homogeneous linear system with solutions space (v). [4] [5] 2. Let V = R³, equipped with the dot product. Let V = -1 {(:) X1 (a) Show that v- x2 x1 = x3 [4] x3 (b) Deduce that v- = (e2, e1 + e3). (c) Use the fact that (v) = (v-)- to determine a homogeneous linear system with solutions space (v). [4] [5]

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Definator of orthogonal combliment Set W he a gubspace of R Tts Osethojoral c... View the full answer