NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths 4 Determinants Ex 4.4.
- Determinants Class 12 Ex 4.1
- Determinants Class 12 Ex 4.2
- Determinants Class 12 Ex 4.3
- Determinants Class 12 Ex 4.5
- Determinants Class 12 Ex 4.6
Board | CBSE |
Textbook | NCERT |
Class | Class 12 |
Subject | Maths |
Chapter | Chapter 4 |
Chapter Name | Determinants |
Exercise | Ex 4.4 |
Number of Questions Solved | 5 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4
Ex 4.4 Class 12 Maths Question 1.
Write the minors and cofactors of the elements of following determinants:
(i)
(ii)
Solution:
(i) Let A =
M11 = 3, M12 = 0, M21 = – 4, M22 = 2
For cofactors
Ex 4.4 Class 12 Maths Question 2.
Write Minors and Cofactor of elements of following determinant
(i)
(ii)
Solution:
(i) Minors M11 = = 1
Ex 4.4 Class 12 Maths Question 3.
Using cofactors of elements of second row, evaluate
Solution:
Given
Ex 4.4 Class 12 Maths Question 4.
Using Cofactors of elements of third column, evaluate
Solution:
Elements of third column are yz, zx, xy
Ex 4.4 Class 12 Maths Question 5.
If and Aij is the cofactors of aij? then value of ∆ is given by
(a) a11A31+a12A32+a13A33
(b) a11A11+a12A21+a13A31
(c) a21A11+a22A12+a23A13
(d) a11A11+a21A21+a31A31
Solution:
Option (d) is correct.
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