The document NCERT Solutions - Determinants, Exercise 4.4 JEE Notes | EduRev is a part of the JEE Course Mathematics (Maths) Class 12.

All you need of JEE at this link: JEE

**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 Δ =****.**

**Answer**

The given determinant is

.

We have:

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

∆ = a_{21}A_{21} + a_{22}A_{22} + a_{23}A_{23} = 2(7) + 0(7) + 1(−7) = 14 − 7 = 7

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

**Answer**

The given determinant is .

We know that Δ 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)′ = B'A' where**

**Answer**

Hence,

198 videos|191 docs|124 tests

### NCERT Solutions - Determinants, Exercise 4.5

- Doc | 21 pages
### NCERT Solutions - Determinants, Exercise 4.6

- Doc | 4 pages
### NCERT Solutions - Determinants, Miscellaneous Exercise

- Doc | 22 pages
### Test: Solving Simultaneous Equations

- Test | 10 ques | 10 min
### Minors and Cofactors : Example

- Video | 03:28 min
### Examples : Based on Properties of Determinants

- Video | 12:27 min

- NCERT Solutions - Determinants, Exercise 4.3
- Doc | 2 pages
- NCERT Textbook - Determinants
- Doc | 44 pages