2x2 Matrix Calculator
Perform matrix operations on 2x2 matrices including addition, subtraction, multiplication, determinant, and inverse.
Matrix Result
2×2 Matrix Operations:
For matrix A = [[a, b], [c, d]] and matrix B = [[e, f], [g, h]]:
Addition: A + B = [[a+e, b+f], [c+g, d+h]]
Subtraction: A - B = [[a-e, b-f], [c-g, d-h]]
Multiplication: A × B = [[ae+bg, af+bh], [ce+dg, cf+dh]]
Determinant: det(A) = ad - bc
Inverse: A⁻¹ = (1/det(A)) × [[d, -b], [-c, a]]
The inverse exists only if the determinant is not zero.