Solved: In Exercises 12, determine whether the linear transformation is one-to-one by

Chapter 8, Problem 1

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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 R2, where T(x, y) = (y, x) (b) T : R2 R3, where T(x, y) = (x, y, x + y) (c) T : R3 R2, where T(x, y, z) = (x + y + z, x y z)

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