Solved: In Exercises 12, determine whether the linear transformation is one-to-one by
Chapter 8, Problem 2(choose chapter or problem)
In Exercises 12, determine whether the linear transformation is one-to-one by finding its kernel and then applying Theorem 8.2.1. (a) T : R2 R3, where T(x, y) = (x y, y x, 2x 2y) (b) T : R2 R2, where T(x, y) = (0, 2x + 3y) (c) T : R2 R2, where T(x, y) = (x + y, x y)
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