NCERT Solutions for Maths Class 12 Exercise 4.4
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Class 12th is a very crucial stage of your student’s life, since you take all important decisions about your career on this stage. Mathematics plays a vital role to take decision for your career because if you are good in mathematics, you can choose engineering and technology field as your career.
NCERT Solutions for Maths Class 12 Exercise 4.4 helps you to solve each and every problem with step by step explanation which makes you strong in mathematics.
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NCERT Solutions for Maths Class 12 Exercise 4.4 are prepared by the experienced teachers of CBSE board. If you are preparing for JEE Mains and NEET level exams, then it will definitely make your foundation strong.
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NCERT Solutions for Maths Class 12 Exercise 4.1
NCERT Solutions for Maths Class 12 Exercise 4.2
NCERT Solutions for Maths Class 12 Exercise 4.3
NCERT Solutions for Maths Class 12 Exercise 4.5
NCERT Solutions for Maths Class 12 Exercise 4.6
NCERT Solutions for Maths Class 12 Exercise 4.4
Maths Class 12 Ex 4.4 Question 1.
Write the Minors and Cofactors of the elements of following determinants:
(i) Let A = 
M11 = Minor of a11 = 3, M12 = Minor
of a12 = 0,
M21 =
Minor of a21 = –4, M22 = Minor of a22 = 2
Now, cofactors of aij is Aij.
So, A11
= (–1)1 + 1 M11 = (–1)2 (3) = 3
A12 =
(–1)1 + 2 M12 = (–1)3 (0) = 0
A21 =
(–1)2 + 1 M21 = (–1)3 (–4) = 4
A22 =
(–1)2 + 2 M22 = (–1)4 (2) = 2
(ii) Let A = 
M11 = Minor of a11 = d, M12 = Minor
of a12 = b,
M21 =
Minor of a21 = c, M22 = Minor of a22 = a
Now, cofactors of aij is Aij.
So, A11
= (–1)1 + 1 M11 = (–1)2 (d) = d
A12 =
(–1)1 + 2 M12 = (–1)3 (b) = –b
A21 =
(–1)2 + 1 M21 = (–1)3 (c) = –c
A22 =
(–1)2 + 2 M22 = (–1)4 (a) = a
Maths Class 12 Ex 4.4 Question 2.
Write Minors and Cofactors of the elements of following determinants:
Solution:
Maths Class 12 Ex 4.4 Question 3.
Using Cofactors of elements of second row, evaluate
Solution:
The elements of second row are 2, 0 and 1.
Maths Class 12 Ex 4.4 Question 4.
Using Cofactors of elements of third column, evaluate
The elements of
third column are yz, zx and xy.
Maths Class 12 Ex 4.4 Question 5.
If
and Aij is Cofactors of aij,
then value of ∆ is given by(A) a11 A31 + a12 A32 + a13 A33
(B) a11 A11 + a12 A21 + a13 A31
(C) a21 A11 + a22 A12 + a23 A13
(D) a11 A11 + a21 A21 + a31 A31
Solution:
Option (D) is
correct.
NCERT Solutions for Maths Class 12 Exercise 4.1
NCERT Solutions for Maths Class 12 Exercise 4.2
NCERT Solutions for Maths Class 12 Exercise 4.3