Matrix Multiplication Calculator
Multiply two matrices instantly. Choose the matrix dimensions, enter each value, and view the resulting product with a clear row-by-column breakdown.
Set the rows and columns for Matrix A and Matrix B.
Fill every cell with the numbers you want to multiply.
Review Matrix C and the multiplication details.
Each value in the result matrix is found by multiplying matching entries from one row of Matrix A and one column of Matrix B, then adding those products together.
The product contains 4 values, and each value uses 2 pairwise multiplications.
Matrix multiplication is used in computer graphics, machine learning, transformations, physics, engineering, economics, statistics, robotics, and systems of linear equations.
Matrix A can be multiplied by Matrix B only when the number of columns in Matrix A equals the number of rows in Matrix B. In general, A × B is not the same as B × A.
How do I multiply two matrices?
Take each row of the first matrix and calculate its dot product with each column of the second matrix.
When is matrix multiplication possible?
It is possible when the number of columns in the first matrix equals the number of rows in the second matrix.
Does the order of multiplication matter?
Yes. Matrix multiplication is generally not commutative, so A × B may differ from B × A or may not even be defined.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
This calculator is intended for educational, mathematical, and planning purposes. Verify important engineering, academic, or scientific results independently.
