The question: Evaluate $\sum_{k=0}^4 c_kx^k$ for $x=0,1,2,3,4$. Write these five expressions as a matrix product $Mc$, where $M$ is a 5x5 matrix, and $c$ is a column matrix with components $c_0,c_1,....,c_4$.
Would I just plug in the different $x$ values for this? We're covering uniform B-splines, but I don't see how this has anything to do with it.
Any input is appreciated, thanks.