﻿ Definition and examples reflection matrix | define reflection matrix - algebra - Free Math Dictionary Online

# Reflection Matrix

## 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 y-axis.
• is the reflection matrix for the y-axis.

### 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 y-axis.

##### 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 y-axis

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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