1. Find a single matrix, with explicit extries, giving a transformation that takes the box in R$^ 3$ with vertices $(0,0,0)$, $(2,0,0)$, $(0,3,0)$, $(0,0,4)$, $(2,3,0)$, $(0,3,4)$, $(2,0,4)$, $(2,3,4)$ to the cube with vertices $(\pm 1, \pm 1, \pm 1)$. (You may choose which vertices go to which.)