Question

Which of the following is not correct in a given determinant of A, where A = [a_ij]_3×3.

Options

• Order of minor is less than order of the det (A)

• Minor of an element can never be equal to cofactor of the same element

• Value of determinant is obtained by multiplying elements of a row or column by  corresponding cofactors
  
  

• Order of minors and cofactors of elements of A is same

Answer 1

Minor of an element can never be equal to the cofactor of the same element.
\[C_{i j} = \left( - 1 \right)^{i + j} M_{i j} \]
\[\text{ So, for even values of }i + j, C_{i j} = M_{i j} . \]