Chapter 9.3, Problem 80PE

(a)

To determine

The matrix $A$ where the first row represents the $x\text{-coordinate}$ and the second row represents the corresponding $y\text{-coordinate}$ .

(b)

To determine

The matrix when a triangle shifts $1$ unit to the left and $3$ units upward.

(c)

To determine

To calculate: The product $\left[\begin{array}{cc}-1& 0\\ 0& 1\end{array}\right]A$ and explain the effect on the graph of the triangle of matrix.

(d)

To determine

To calculate: The product $\left[\begin{array}{cc}1& 0\\ 0& -1\end{array}\right]A$ and explain the effect on the graph of the triangle of matrix.

(e)

To determine

To calculate: The expression value $\left[\begin{array}{cc}1& 0\\ 0& -1\end{array}\right]A+\left[\begin{array}{ccc}2& 2& 2\\ -5& -5& -5\end{array}\right]$ and explain the effect on the graph of the triangle of matrix.