Algebra
Scaling Matrix Generator | Visualize & Generate Scaling Matrices
Easily generate and visualize scaling matrices for 2D and 3D transformations. Understand how scaling factors affect objects in linear algebra. Copy matrix output.
Enter Scaling Factors
Scaling Matrix
Visualization
Original Shape Scaled Shape
What is a Scaling Matrix?
In linear algebra, a scaling matrix is a diagonal matrix used to perform scaling transformations. When you multiply a vector by a scaling matrix, you scale each component of the vector by the corresponding diagonal element of the matrix. For example, in 2D, a scaling matrix is represented as [[Sx, 0], [0, Sy]], where Sx and Sy are the scaling factors along the x and y axes respectively. In 3D, it extends to [[Sx, 0, 0], [0, Sy, 0], [0, 0, Sz]]. This tool helps you generate these matrices and visualize their effect on a 2D shape.
- 2D Scaling: Scales objects along the X and Y axes.
- 3D Scaling: Extends to scale along the Z axis, useful in 3D graphics and transformations.
- Applications: Computer graphics, image processing, and any field requiring geometric transformations.