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**DETERMINANTS**

**Exercise 4.4**

**Question 1:**

**Write Minors and Cofactors of the elements of following determinants: (i) **

(i) The given determinant is

Minor of element a_{ij} is M_{ij.}

**Question 2:****Answer**

**Question 3: Using Cofactors of elements of second row, evaluate Î” =****.**

**Answer**

The given determinant is

.

We have:

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

âˆ† = a_{21}A_{21} + a_{22}A_{22} + a_{23}A_{23} = 2(7) + 0(7) + 1(âˆ’7) = 14 âˆ’ 7 = 7

**Question 4: Using Cofactors of elements of third column, evaluate Î”= **

**Answer**

The given determinant is .

We know that Î” is equal to the sum of the product of the elements of the second row

with their corresponding cofactors.

Hence,

**Question 5: For the matrices A and B, verify that (AB)â€² = B'A' where**

**Answer**

Hence,

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