Prove that if x = (x1, x2)T , y = (y1, y2)T, and z = (z1, z2)T are arbitrary vectors in

Chapter 5, Problem 12

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Prove that if x = (x1, x2)T , y = (y1, y2)T, and z = (z1, z2)T are arbitrary vectors in R2, then (a) xT x 0 (b) xT y = yT x (c) xT (y + z) = xT y + xT z 1

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