Reflection Matrix
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Definition of Reflection Matrix
A matrix that is used to reflect an object over a line or plane is called a reflection matrix.
Examples of Reflection Matrix
 The figure below shows the reflection of triangle ABC about the yaxis. is the reflection matrix for the yaxis.
Video Examples: Reflection Matrix
Solved Example on Reflection Matrix
Ques: Find the coordinates of the vertices of the ../image_md of triangle ABC with A(1, 3), B(1, 1), C(3, 1) after a reflection across the yaxis.
Choices:
A. A'( 1, 3), B'(1, 1), C'( 3, 1)B. A'( 1,  3), B'(1, 1), C'( 3, 1)
C. A'( 1, 3), B'(1,  1), C'( 3, 1)
D. A'( 1, 3), B'(1, 1), C'(3, 1)
Solution:

Step 1: The coordinates of the vertices of triangle ABC are given by A(1, 3), B(1, 1), C(3, 1)
Step 2: Then multiply the vertex matrix by reflection matrix for the yaxis
Step 3: Therefore, the coordinates of the vertices of A'B'C' are A'( 1, 3), B'(1, 1), C'( 3, 1).
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