Exercise 4.4
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NCERT Solutions class 12 Maths Determinants
1. Write minors and cofactors of the elements of the following determinants:
(i) 
(ii) 
Ans. (i) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 = 
M21 = Minor of 
and A21 = 
M22 = Minor of 
and A22 = 
(ii) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 = 
M21 = Minor of 
and A21 = 
M22 = Minor of 
and A22 = 
NCERT Solutions class 12 Maths Exercise 4.4
2. Write minors and cofactors of the elements of the following determinants:
(i) 
(ii) 
Ans. (i) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 =
M13 = Minor of 
and A13 = 
M21 = Minor of 
and A21 = 
M22 = Minor of 
and A22 = 
M23 = Minor of 
and A23 = 
M31 = Minor of 
and A31 = 
M32 = Minor of 
and A32 = 
M33 = Minor of 
and A31 = 
(ii) Let 
M11 = Minor of 
and A11 = 
M12 = Minor of 
and A12 = 
M13 = Minor of 
and A13 = 
M21 = Minor of 
and A21 =
M22 = Minor of 
and A22 =
M23 = Minor of 
and A23 = 
M31 = Minor of 
and A31 = 
M32 = Minor of 
and A32 = 
M33 = Minor of 
and A31 = 
NCERT Solutions class 12 Maths Exercise 4.4
3. Using cofactors of elements of second row, evaluate:
Ans. Elements of second row of 
are 
A21 = Cofactor of 
= 
A22 = Cofactor of 
= 
A23 = Cofactor of 
= 
= 
NCERT Solutions class 12 Maths Exercise 4.4
4. Using cofactors of elements of third column, evaluate:
Ans. Elements of third column of are 
A13 = Cofactor of 
= 
A23 = Cofactor of 
= 
A33 = Cofactor of 
= 
= 
= 
= 
= 
= 
= 
= 
= 
= 
NCERT Solutions class 12 Maths Exercise 4.4
5. If 
and 
is cofactor of 
then value of is given by:
(A) 
(B) 
(C) 
(D) 
Ans. Option (D) is correct.