Let Tbe an invertible transformation. Use the linearity of T to prove that if (a) T(ui)

Chapter 4, Problem 9

(choose chapter or problem)

Let Tbe an invertible transformation. Use the linearity of T to prove that if (a) T(ui) = Vi and T(u2) = v2, then r i (vi + v2) = ui + u2 (b) T(u) = v and c is a scalar, then T-i ( cv) = cu. (These confirm thatT-i is indeed linear.)

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