The matrix R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
What is the matrix?
It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
We have vertices shown in the picture.
Form a matrix using the vertices:
[tex]= \left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right][/tex]
To reflect over the x-axis, multiply by the reflection matrix:
[tex]= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right][/tex]
[tex]\rm R= \left[\begin{array}{ccc}-3&5&6\\-7&-3&5\\\end{array}\right][/tex]
The above matrix represent the reflection matrix.
Thus, the matrices R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
Learn more about the matrix here:
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