Chapter 4.7, Problem 31P

PROBLEMS

For Problems 27-32, find the change-of-basis matrix $P_{B\leftarrow C}$ from the given basis $C$ to the given basis $B$ of the vector space $V$.

$V$, $B$, and $C$ from Problem 23.

23. $V=P_3\left(ℝ\right)$;

$B=\left\{-2+3x+4x^2-x^3,3x+5x^2+2x^3,-5x^2-5x^3,4+4x+4x^2\right\}$;

$C=\left\{1-x^3,1+x,x+x^2,x^2+x^3\right\}$.