Exercise 2.1.38

Answers

It’s additive since

T ((x_{1} + i y_{1}) + (x_{2} + i y_{2})) = (x_{1} + x_{2}) - i (y_{1} + y_{2}) = T (x_{1} + i y_{1}) + T (x_{2} + i y_{2}) .

But it’s not linear since $T (i) = - i \neq iT (1) = 0$ .

jephianlin

2011-06-27 00:00