Unleash the Power of Reflection Matrices in 2D!
Visualize and generate reflection matrices effortlessly. Choose your reflection line and see the transformation instantly!
Configuration
Reflection Matrix:
Visualization:
Understanding Reflection Matrices
A reflection matrix is a tool in linear algebra that mirrors points across a line or plane. In 2D, we often reflect across the x-axis, y-axis, or lines through the origin.
For instance, reflecting over the x-axis flips the y-coordinate's sign, while x stays the same. Similarly, y-axis reflection flips the x-coordinate's sign. Reflections across angled lines involve trigonometry to calculate the matrix.
This generator helps create 2x2 reflection matrices for various lines and shows vector transformations visually. Useful in graphics, physics, and engineering for efficient reflections.