Hi, (T(f))(t) = f(-t) (t is from -pi to pi.) Show that T is linear.
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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 $\displaystyle a,b$ and any vectors $\displaystyle f,g$ we have 1. $\displaystyle T(af+bg)=aT(f)+bT(g)$ try this and post back if you get stuck.
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