I have B=(1+x+x^2+x^3, 1+x+x^2, 1+x, 1) and C=(1+x^2, 1+x+2x^2, 1+4x+5x^2+x^3, -2+2x-x^2+5x^3).
I need to find [p]subscriptB and [p]subscriptC. What is it?
I'm really confused by my notes and nothing seems to work.
I need to show that the change of basis matrix from C to B times [p]subB=[p]subC and it doesn't work. I know the change of basis matrices.
Any help greatly appreciated.