Multiply two arrays using the dot product of rows and columns.
Matrix Dimensions
Matrix A (2×2)
Matrix B (2×2)
Product Matrix (AB)
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Result Dimension: 2 × 2
About this calculator
How to Multiply Matrices
Matrix multiplication involves taking the dot product of rows from the first matrix and columns from the second. The number of columns in the first matrix must match the number of rows in the second matrix.
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Pro Tips
Order matters: A × B is rarely equal to B × A.
The result dimensions are (Rows A) × (Cols B).
Multiplication is associative: (AB)C = A(BC).
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Fun Facts
"Matrix multiplication acts as a composition of linear transformations."
"First described by Jacques Philippe Marie Binet in 1812."
