Chapter 6, Problem 4P

To determine

(a)

To find:

The effect does $T$ have on the gray square.

To determine

(b)

To find:

The effect does $S$ have on the gray square.

To determine

(c)

To find:

The effect of the combined transformation of $S\text{ and }T$ on gray square matrix.

To determine

(d)

To find:

The product matrix $W=TS$.

To determine

(e)

To find:

The matrix if the matrix $W$ apply on the gray square and also compare the final result with part (c).