Matrix Multiplication Calculator
Multiply two 2×2 matrices.
Worth Knowing
Matrix multiplication is where matrices stop behaving like numbers: it's not commutative, so A×B generally differs from B×A, and the order encodes the order in which transformations are applied. Each entry of the product is a dot product of a row with a column, which is why the inner dimensions must match. This operation is the computational heart of graphics, machine learning, and physics — chaining transformations means multiplying their matrices.
How to Use
- Enter A₁₁ into the first field of the Matrix Multiplication Calculator.
- Fill in the rest: A₁₂, A₂₁, A₂₂, B₁₁, B₁₂, B₂₁, B₂₂.
- Your result appears instantly as you type — there's no submit button or page reload.