Question

What calculation gives the resulting value \(M_{ij}\) after the required row and column have been deleted?

Options

• Calculate the determinant of the original \(n\times n\) matrix.

• Calculate the determinant of the remaining \((n-1)\times(n-1)\) matrix.

• Compute only the sign factor \((-1)^{i+j}\).

• Add all entries of the remaining matrix.

Answer 1

The determinant of the remaining \((n-1)\times(n-1)\) matrix is the minor. This resulting determinant is denoted by \(M_{ij}\).