Matrix Multiplication Calculator

Summary

Enter two matrices with compatible dimensions and instantly compute their product with a step-by-step breakdown.

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