Chapter 2.4, Problem 62E

In Exercises 55 through 65, show that the given matrix A is invertible, and find the inverse. Interpret the linear transformation $T\left(\stackrel{\to }{x}\right)=A\stackrel{\to }{x}$and the inverse transformation $T^{-1}\left(\stackrel{\to }{y}\right)=A^{-1}\stackrel{\to }{y}$geometrically Interpret del A geometrically. In your figure, show the angle $\theta$and the vectors $\stackrel{\to }{v}$and $\stackrel{\to }{w}$introduced in Theorem 2.4.10.

62. $\left[\begin{array}{cc}1& -1\\ 0& 1\end{array}\right]$