Cofactor Coefficient Calculator

Calculate Cofactor Coefficient





Formula

To calculate the Cofactor Coefficient (C):

\[ C = (-1)^{(r+c)} \times D \]

Where:

What is a Cofactor Coefficient?

A cofactor coefficient is a value used in the calculation of the determinant of a matrix. It is derived from the minor matrix, which is the matrix obtained by deleting a specific row and column from the original matrix. The cofactor coefficient is calculated by multiplying the determinant of the minor matrix by (-1) raised to the power of the sum of the row and column indices. This value is essential in various matrix operations, including finding the inverse of a matrix and solving systems of linear equations.

Example Calculation

Let's assume the following values:

Using the formula:

\[ C = (-1)^{(2+3)} \times 5 = (-1)^5 \times 5 = -5 \]

The Cofactor Coefficient is -5.