# Math Help - Linear transformation and isomorphism

1. ## Linear transformation, isomorphism and midpoint interpolation

Hi,

a little bit more complex exercise I need help on here. Doc-file is attached.

The first exercise is about linear transformation and isomorphism. The second about some midpoint interpolation. No cheating is involved here. :-) I just don't know how to do this.

Help is highly appreciated!

2. ## Re: Linear transformation, isomorphism and midpoint interpolation

For the first part: $T(1)=(1,1,\ldots,1)$ , $T(\cos t)=(\cos \pi/16,\cos 3\pi/16,\ldots,\cos 15\pi/16)$ , ... , transposing we obtain $C$ . Please, try the rest showing some work .