2x2 Matrix Multiplication Calculator

Enter the entries of two 2×2 matrices to calculate their product, A × B.

2x2 Matrix Multiplication Calculator

Multiply two 2×2 matrices together to find the resulting 2×2 matrix.

This calculator provides an estimate for general informational purposes only. It is not a substitute for professional financial, mechanical or engineering advice.

Multiplying two 2×2 matrices combines each row of the first matrix with each column of the second, using a dot-product pattern for every entry of the resulting matrix.

Example

  • With the default values shown above, this calculator returns: Result - row1,col1 ≈ 19.00; Result - row1,col2 ≈ 22.00; Result - row2,col1 ≈ 43.00; Result - row2,col2 ≈ 50.00.

Frequently Asked Questions

How does 2x2 matrix multiplication work?

Each entry of the result is the dot product of a row from the first matrix and a column from the second: for example, the top-left entry is (A's row 1) · (B's column 1).

Does order matter?

Yes — matrix multiplication is not commutative in general, so A × B usually gives a different result than B × A. This calculator computes A × B in that order.

Related Calculators

2x2 Matrix Determinant CalculatorCalculate the determinant of a 2×2 matrix from its four entries.3D Vector Dot Product CalculatorCalculate the dot product of two 3D vectors from their x, y and z components.Linear Equation Solver (ax + b = c)Solve a simple linear equation of the form ax + b = c for the value of x.
Scroll to Top