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Apply custom 2x2 transformation matrix to images. Input any four matrix values [a, b; c, d] to create unique transformations. Great for learning linear algebra and image processing.
Execution
Fill in the form, run the tool, and review the result in one place.
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Tool usage guide
The Image Custom Matrix tool allows you to apply precise 2x2 linear transformations to your images by defining custom matrix values. By adjusting the four matrix coefficients, you can perform scaling, shearing, and rotation effects, making it an ideal utility for image processing experiments and educational demonstrations of linear algebra.
Background
A student needs to demonstrate how a matrix can stretch an image horizontally without changing its height.
Problem
Manually calculating the transformation to stretch the image width by 2x.
How to use
Upload the image and set the m00 value to 2.0, while keeping m01 and m10 at 0.0 and m11 at 1.0.
m00: 2.0, m01: 0.0, m10: 0.0, m11: 1.0Outcome
The image is rendered with its width doubled while maintaining its original height.
Background
The artist wants to create a slanted, skewed look for a logo to give it a sense of motion.
Problem
Applying a consistent shear effect to the image geometry.
How to use
Upload the logo, set m01 to 0.5 to introduce horizontal shear, and keep other values at identity matrix defaults.
m00: 1.0, m01: 0.5, m10: 0.0, m11: 1.0Outcome
The matrix values control linear transformations: m00 and m11 affect scaling, while m01 and m10 control shearing and rotation components.
Yes, you can set a background color or keep it transparent, and we recommend using PNG as the output format to preserve alpha channels.
You can upload JPEG, PNG, WebP, GIF, BMP, and TIFF files.
For lossy formats like JPEG or WebP, you can adjust the quality slider up to 100 for the best visual fidelity.
Absolutely, it is designed to help users visualize the practical application of linear algebra and matrix math on digital images.
The logo appears slanted to the right, creating a dynamic, speed-oriented visual effect.