# 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:** If **and** **is Cofactors of** , **then value of Δ 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 is D.**