Math 2210 u - Study guides, Class notes & Summaries

cofactor definitioncij(A) = (-1)^(i+j) det(Aij) (-1)^(i+j) is called the sign of the (i,j)-position if A has a row or column of zeros,det(A) = 0 if two distinct rows (or columns) of A are interchanged, the determinant of the resulting matrix is-detA if a row (or column) of A is multiplied by a constant u, the determinant of the resulting matrix isu(detA) if two distinct rows (or columns) of A are identical, detA =0