Chapter 2.4A, Problem 4GCE

To determine

To repeat the activity using $2\times 2$ matrices and make a conjecture about these $2\times 2$ matrices.

Explanation of Solution

Given:

The $2\times 2$ matrices.

Calculation:

The following are the $2\times 2$ matrices.

Step-1 Enter the matrices as follows-

$A=\left(\begin{array}{cc}0& -1\\ 1& 0\end{array}\right),B=\left(\begin{array}{cc}-1& 0\\ 0& -1\end{array}\right)$ and $C=\left(\begin{array}{cc}0& 1\\ -1& 0\end{array}\right)$

Step 2-

Graph the triangle using STAT plot-

Step 3- use the MATH and MAT menu-

Step 4- Multiply matric D by matrix A-

Conjecture- The matrices are the reflection over the y-axis.