# Â EXERCISE 4.4 (Determinants)

Write Minors and Cofactors of the elements of following determinants:(Class 12 ncert solution math exercise 4.4)

Question 1: (i)
(ii)

Solution: (i) The given determinant is

Minor of element is

minor of element

minor of element

minor of element

minor of element

Cofactor of is

(ii) The given determinant is

Minor of element is .

minor of element

minor of element

minor of element

minor of element

Cofactor of is

Question 2: (i)

(ii)

Solution: (i) The given determinant is

Minor of element is .

Cofactor of is

(ii) The given determinant is

Minor of element is .

Cofactor of is

Question 3: Using Cofactors of elements of second row, evaluate

Solution: The given determinant is

minor of element

We know that is equal to the sum of the product of the elements of the second row with their corresponding cofactors.

Therefore,

Question 4: Using Cofactors of elements of second row, evaluate

Solution: The given determinant is

Therefore,

We know that is equal to the sum of the product of the elements of the third column with their corresponding cofactors.

Therefore,

Hence,

Question 5:Â  If and is Cofactors of , then value ofÂ  Î”Â  is given by
A.
B.
C.
D.

Solution: We know that is equal to the sum of the product of the elements of a column or row with their corresponding cofactors.

Thus, the correct option isÂ D.