Question: In Exercises use Theorem 4.3.2 to determine whether T: R2 R2 is a linear operator. (a) T(x, y) = (2x + y, x -

In Exercises use Theorem 4.3.2 to determine whether T: R2 → R2 is a linear operator.
(a) T(x, y) = (2x + y, x - y)
(b) T(x, y) = (x + 1, y)

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