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In the following: a) Prove that T is isomorphism b) Find 7-1 When: 1. IfT: R 2. IfT: R R defined by T(x, y)

In the following: a) Prove that T is isomorphism b) Find 7-1 When: 1. IfT: R 2. IfT: R R defined by T(x, y) = (x-y,x-2y) R defined by T(x, y, z) = (x + y2z, x + 2y +z, 2x + 2y - 3z)

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a For 1 we have that Tx y x y x 2y x y y 2y x1 0 y1 2 T1 0 T0 1 Te1 Te2 So T is linear To show that ... blur-text-image

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