Tool for calculating the minors of a matrix, i.e. the values of the determinants of its square sub-matrices (removing one row and one column of the starting matrix).

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Tool for calculating the minors of a matrix, i.e. the values of the determinants of its square sub-matrices (removing one row and one column of the starting matrix).

Answers to Questions

What is a matrix minor? (Definition)

The minors of a square matrix $ M = m_{i, j} $ are the determinants of the square sub-matrices obtained by removing the row $ i $ and the column $ j $ from $ M $.

Sometimes minors are defined by removing opposing rows and columns.

How to calculate a matrix minors?

For a square matrix of order 2, the minors represent the matrix of cofactors without the coefficients.

For larger matrices like 3x3, calculate the determinants of each sub-matrix.

Example: $$ M = \begin{matrix} a & b & c \\ d & e & f \\ g & h & i \end{matrix} $$

What is the difference between a minor and a cofactor?

For a square matrix, the minors are identical to the cofactor except for the sign (the cofactors can have a - sign depending on their position in the matrix).

Source code

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