🔢Determinant Calculator
Calculate matrix determinants for 1×1 to 4×4 matrices with detailed step-by-step solutions using various mathematical methods
determinantCalculator.matrixSize
determinantCalculator.matrixElements
determinantCalculator.propertiesOfDeterminants
determinantCalculator.basicProperties
- • 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
determinantCalculator.specialCases
- • det(A) = 0 ⟺ A is singular
- • det(A) ≠ 0 ⟺ A is invertible
- • Row swap changes sign
- • Zero row/column gives det = 0