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

## 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 Î” =
.

The given determinant is
.
We have:

We know that âˆ† is equal to the sum of the product of the elements of the second row with their corresponding cofactors.

âˆ† = a21A21 + a22A22 + a23A23 = 2(7) + 0(7) + 1(âˆ’7) = 14 âˆ’ 7 = 7

Question 4: Using Cofactors of elements of third column, evaluate Î”=

The given determinant is  .

We know that Î” 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)â€² = B'A' where

Hence,

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## Mathematics (Maths) Class 12

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