Chapter 9, Problem 47RE

a. Write a matrix $A$ that represents the coordinates of the vertices of the triangle, Place the $x\text{-coordinate}$ of each point in the first row of $A$ and the corresponding $y\text{-coordinate}$ in the second row of $A$ .

b. Use addition of matrices to shift the triangle $3$ units to the left and $1$ unit downward,

c. Find the product $\left[\begin{array}{cc}-1& 0\\ 0& 1\end{array}\right]$ . $A$ and explain the effect on the graph of the triangle.

d. Find the product $\left[\begin{array}{cc}1& 0\\ 0& -1\end{array}\right]$ . $A$ and explain the effect on the graph of the triangle.