Last Updated: April 13, 2026
Matrix Calculator
Free matrix calculator. Add, multiply, find determinant & transpose of 2x2 and 3x3 matrices.
Matrix A (2×2)
Matrix B (2×2)
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Frequently Asked Questions
When is matrix multiplication defined?
A(m×n) × B(n×p) works when A columns = B rows. Result is m×p.
What does the determinant mean?
The determinant represents scaling factor of the linear transformation. det=0 means the matrix is singular (not invertible).
What is the transpose?
Transpose flips rows and columns. Element a_ij becomes a_ji.