Question: In each part, find ker(T), and determine whether the linear transformation T is one-to-one. (a) T: R2 R2, where T(x, y) = (y, x)

In each part, find ker(T), and determine whether the linear transformation T is one-to-one.
(a) T: R2 → R2, where T(x, y) = (y, x)
(b) T: R2 → R2, where T(x, y) = (x + y, x - y)
(c) T: R2 → R3, where T(x, y) = (x - y, y - x, 2x - 2y)

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a Clearly ker T 0 0 so T is onetoone b Since Tx y 0 0 if and on... View full answer

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