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MatrixLab
The core 2×2 matrix operations together.
A matrix can represent a system of equations, a rotation, a scaling, or any linear transformation — matrix multiplication combines transformations, applying one after another.
Computer graphics (every rotation and zoom on your screen is a matrix multiplication), economics (input-output models), and solving multi-variable equation systems all rely on matrix operations.
Matrix A (2×2)
Matrix B (2×2)
What you entered
Add matrices (element-wise)
A + B= [[6, 8], [10, 12]]Multiply matrices (row × column)
A × B= [[19, 22], [43, 50]]Determinant of A
1×4 − 2×3= -2Determinant of B
5×8 − 6×7= -2Result
A × B: [[19, 22], [43, 50]]
Matrix multiplication combines A and B by pairing each row of A with each column of B — the result represents applying transformation B, then transformation A.