Chapter 4.7, Problem 10E

Finding a Coordinate Matrix In Exercises $5-10$, given the coordinate matrix of $x$ relative to a (nonstandard) basis $B$ for $R^n$, find the coordinate matrix of $x$relative to the standard basis.

$\begin{array}{l}B=\left\{\left(4,0,7,3\right),\left(0,5,-1,-1\right),\left(-3,4,2,1\right),\left(0,1,5,0\right)\right\}\\ {\left[x\right]}_B=\left[\begin{array}{c}-2\\ 3\\ 4\\ 1\end{array}\right]\end{array}$.