# NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4

In this chapter, we provide NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 for English medium students, Which will very helpful for every student in their exams. Students can download the latest NCERT Solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 pdf, free NCERT solutions for Class 12 Maths Chapter 4 Determinants Ex 4.4 book pdf download.

## 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 = $begin{vmatrix} 2 & -4 \ 0 & 3 end{vmatrix}$
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 = $begin{vmatrix} 1 & 0 \ 0 & 1 end{vmatrix}$ = 1

Ex 4.4 Class 12 Maths Question 3.
Using cofactors of elements of second row, evaluate

Solution:
Given
$Delta =left| begin{matrix} 5 & 3 & 8 \ 2 & 0 & 1 \ 1 & 2 & 3 end{matrix} right|$

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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