Peegeldusmatriksi

Peegeldusmatriksi, also known as a reflection matrix, is a mathematical tool used in linear algebra and computer graphics to represent the reflection of points, vectors, or other geometric entities across a line or plane. It is a square matrix that, when multiplied by a vector, produces the reflection of that vector across a specified axis or plane.

In two-dimensional space, a reflection matrix across the x-axis is given by:

[1 0]

[0 -1]

Similarly, a reflection matrix across the y-axis is:

[-1 0]

[0 1]

In three-dimensional space, reflection matrices can be more complex, depending on the plane of reflection. For example, a reflection matrix across the xy-plane is:

[1 0 0]

[0 1 0]

[0 0 -1]

Reflection matrices are useful in various applications, including computer graphics, where they are used to create mirror images and simulate reflections in virtual environments. They are also employed in physics and engineering to model the behavior of reflected waves and particles.