Exercise 2.2.8

Answers

If $β = {v_{1}, v_{2}, \dots, v_{n}}$ and $x = \sum_{i = 1}^{n} a_{i} v_{i}$ and $y = \sum_{i = 1}^{n} b_{i} v_{i}$ , then

T (x + cy) = T (\sum_{i = 1}^{n} a_{i} v_{i} + c \sum_{i = 1}^{n} b_{i} v_{i}) = (a_{1} + c b_{1}, a_{2} + c b_{2}, \dots, a_{n} + c b_{n}) = T (x) + cT (y) .

jephianlin

2011-06-27 00:00