Chapter 3.5, Problem 6E

Let ${\text{v}}_1={\left(4,6,7\right)}^T,{\text{v}}_2={\left(0,1,1\right)}^T$ , and ${\text{v}}_3={\left(0,1,2\right)}^T$ , and let ${\text{u}}_{\text{1}},{\text{u}}_2$ and ${\text{u}}_3$ be the vectors givenin Exercise 5.
(a) Find the transition matrix from $\left\{{\text{v}}_{\text{1}},{\text{v}}_2,{\text{v}}_3\right\}$ to $\left\{{\text{u}}_{\text{1}},{\text{u}}_2,{\text{u}}_3\right\}$ .
(b) If $\text{x}=2{\text{v}}_{\text{1}}+3{\text{v}}_{\text{2}}-4{\text{v}}_{\text{3}}$ , determine the coordinates of x with respect to $\left\{{\text{u}}_{\text{1}},{\text{u}}_2,{\text{u}}_3\right\}$ .