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🇨🇳 中文
🇯🇵 日本語
Matrix Determinant Calculator
Calculate the determinant of 2x2, 3x3, and 4x4 matrices with step-by-step solution
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Matrix Size
1×1
2×2
3×3
4×4
Matrix Elements
Properties of Determinants
Basic Properties
• det(I) = 1 (Identity matrix)
• det(A^T) = det(A) (Transpose)
• det(AB) = det(A) × det(B)
• det(kA) = k^n × det(A) for n×n matrix
Special Cases
• det(A) = 0 ⟺ A is singular
• det(A) ≠ 0 ⟺ A is invertible
• Row swap changes sign
• Zero row/column gives det = 0
Determinant Calculator | MJJ Tools