NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4

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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