Matrix Multiplication Calculator

Summary

This matrix multiplication calculator lets you multiply two matrices of compatible dimensions up to 6x6 entirely in your browser. Enter the number of rows and columns for each matrix, fill in the values, and click Multiply to get the result. The tool shows the full product matrix and breaks down each cell as a dot product of a row from A and a column from B.

How it works

1. Set the dimensions for matrix A (rows x columns) and matrix B (rows x columns).
2. Ensure the number of columns in A equals the number of rows in B — otherwise multiplication is undefined.
3. Fill in the values for each matrix cell.
4. Click Multiply to compute the product matrix A x B.
5. Review the result matrix and the step-by-step dot product breakdown for each output cell.
6. Click Reset to clear all values and start over.

Use cases

• Verify matrix multiplication homework or exam answers.
• Compute transformation compositions in graphics and game development.
• Check linear algebra results for machine learning model weights.
• Multiply rotation, scaling, or projection matrices in 3D geometry.
• Validate results from numerical computing libraries during development.
• Teach or learn matrix multiplication with a clear step-by-step breakdown.

Frequently Asked Questions