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Determinant Calculator
Determinant Calculator
Calculate the determinant of a square matrix with step-by-step solution.
Input Matrix
Size:
2×2
3×3
4×4
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Solution Steps
Determinant Formulas
2×2 Matrix
det(A) = ad - bc
For [[a,b],[c,d]]
3×3 Matrix
aei + bfg + cdh - ceg - bdi - afh
Properties of Determinants
det(AB) = det(A) × det(B)
det(Aᵀ) = det(A)
det(kA) = kⁿ × det(A) for n×n
det(A⁻¹) = 1/det(A)
Swapping rows changes sign
det = 0 if row of zeros
Related Calculators
Matrix Calculator
Inverse Matrix
Eigenvalues
Matrix Multiplication