Chapter 6, Problem 3P

To determine

(a)

To find:

The effect of $T=\left[\begin{array}{cc}1& 1.5\\ 0& 1\end{array}\right]$ on the gray square.

To determine

(b)

To find:

The inverse of $T=\left[\begin{array}{cc}1& 1.5\\ 0& 1\end{array}\right]$.

To determine

(c)

To find:

The effect of $T^{-1}=\left[\begin{array}{cc}1& -1.5\\ 0& 1\end{array}\right]$ on the gray square.

To determine

(d)

To find:

The effect on the gray square such that first apply the transformation $T$ and then $T^{-1}$.