Matrix Multiplier & Solver
Multiply two 2\u00d72 matrices and see the determinant of each.
Why matrix order changes the answer
Matrix multiplication isn't commutative — A × B usually doesn't equal B × A, unlike ordinary number multiplication. The order you enter matrices in is a real mathematical choice, not just a formatting preference.
The dimension rule that trips people up
Two matrices can only be multiplied if the number of columns in the first matches the number of rows in the second. A "can't multiply" result almost always means a dimension mismatch, not a calculation error.