Chapter 4.7, Problem 9E

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.

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