Cofactor Expansion Calculator
How to Use Cofactor Expansion
Cofactor expansion is a method to calculate the determinant of a square matrix. It can be performed along any row or column.
The Process (expanding along the first row):
- For each element in the first row, find its cofactor.
- The cofactor Cij of an element aij is calculated as:
Cij = (-1)i+j * Mij - Mij is the minor of the element, which is the determinant of the submatrix formed by removing row i and column j.
- The determinant of the matrix is the sum of the products of each element in the first row and its corresponding cofactor.
det(A) = a11C11 + a12C12 + ... + a1nC1n
Disclaimer: This tool is for educational purposes and demonstrates expansion along the first row.
Calculates the determinant of a 2x2 or 3x3 matrix.
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