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Linear Algebra

Exercise 2.1.9

Answers

1.: $T (0, 0) \neq (0, 0)$ .
2.: $T (2 (0, 1)) = (0, 4) \neq 2 T (0, 1) = (0, 2)$ .
3.: $T (2 \frac{π}{2}, 0) = (0, 0) \neq 2 T (\frac{π}{2}, 0) = (2, 0)$ .
4.: $T ((1, 0) + (- 1, 0)) = (0, 0) \neq T (1, 0) + T (0, 1) = (2, 0)$ .
5.: $T (0, 0) \neq (0, 0)$ .

jephianlin

2011-06-27 00:00

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