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# NCERT Solutions - Determinants, Exercise 4.4 JEE Notes | EduRev

## Mathematics (Maths) Class 12

Created by: Tarun Kaushik

## JEE : NCERT Solutions - Determinants, Exercise 4.4 JEE Notes | EduRev

The document NCERT Solutions - Determinants, Exercise 4.4 JEE Notes | EduRev is a part of the JEE Course Mathematics (Maths) Class 12.
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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 aij is Mij.  Question 2:       Question 3: Using Cofactors of elements of second row, evaluate Δ = .

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.

∆ = a21A21 + a22A22 + a23A23 = 2(7) + 0(7) + 1(−7) = 14 − 7 = 7

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

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