right now Im studying for my linear algebra exam and I think I pretty much understood the basic concepts but then I tried the following and I am not able to solve it, can someone help me with this:
In the vector space is U a subspace with the following polynomials as basis :
Additionally there are the following functions:
which form a family
a) Calculate the Transformation Matrix and the inverse.
b) Show why is a basis
c) Calculate the Coordinates of
d) For the linear map calculate the Transformation matrices and .
I have no clue how to begin. I think i know how to solve b) and inverting a matrix is not a problem but the rest is not clear to me!
Can you help me, please!