2×2 matrices
Determinant, inverse, transpose, product
Matrices A and B
A
B
Results
det A = -2
A⁻¹
-211.5-0.5
Aᵀ (transpose)
1324
A + B
681012
A × B
19224350
A⁻¹ exists only when det A ≠ 0. Matrix multiplication is non-commutative: A·B ≠ B·A in general.