Question

For a square matrix \(A=[a_{ij}]\) of order \(n\), what is the minor \(M_{ij}\) of \(a_{ij}\)?

Options

• The determinant of the original square matrix of order \(n\).

• \((-1)^{i+j}\) times the determinant obtained by deleting the \(i\)-th row and the \(j\)-th column.

• The determinant obtained by deleting the \(j\)-th row and the \(i\)-th column in which element \(a_{ij}\) lies.

• The determinant obtained by deleting the \(i\)-th row and the \(j\)-th column in which element \(a_{ij}\) lies.

Answer 1

The minor \(M_{ij}\) is formed by deleting the \(i\)-th row and \(j\)-th column containing \(a_{ij}\). The determinant of the remaining matrix is \(M_{ij}\).