Thread: Easy question about linear transformation

Hi,

(T(f))(t) = f(-t) (t is from -pi to pi.)

Show that T is linear.

Originally Posted by expresstrain

Hi,

(T(f))(t) = f(-t) (t is from -pi to pi.)

Show that T is linear.

Just use the defintion of linearity!

A map T is linear if for any scalars and any vectors we have

1.

try this and post back if you get stuck.