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Is just a real number and it can also be negative. €œdeterminant of A ” and not as “ modulus of A ”. Of a row and the corresponding cofactors of the elements of the same row isĮqual to the determinant of the matrix and the sum of the products of theĮntries (elements) of a row and the corresponding cofactors of the elements of Thus the cofactor of a ij is A ij = ( − 1) i+j M ij.Īn important property connecting the elements of a square matrixĪnd their cofactors is that the sum of the products of the entries (elements)

It is denoted by M ij.The product of M ijand ( − 1) i + j is called cofactor of the element a ij. This sub-matrix is called minor of the element a ij. Deleting the i th row and j thĬolumn of A, we obtain a sub-matrix of order ( n − 1). The element sitting at the intersection of the i th row and j thĬolumn of A.

Let A be a square matrix of by order n whoseĭeterminant is denoted | A | or det ( A ). We recall the properties of the cofactors of the elements of a