Cofactor Expansion Calculator

How to Calculate Determinant using Cofactor Expansion

For a matrix A, the determinant using cofactor expansion along row i is:

det(A) = Σ(-1)^(i+j) × a[i][j] × det(M[i][j])

Where:

• a[i][j] is the element at position (i,j)
• M[i][j] is the minor matrix obtained by removing row i and column j
• (-1)^(i+j) is the cofactor sign

For a 2×2 matrix:

• det([[a, b], [c, d]]) = ad - bc