# NCERT Solutions for Class 12-science Maths Chapter 3 - Matrices

Page / Exercise

## Chapter 3 - Matrices Exercise Ex. 3.1

Solution 1
Solution 2
Solution 3
Solution 4

Let A =

(i)

a11 = ,

a12 = ,

a21 = ,

a22 =

Therefore, A =

(ii)

a11 = ,

a12 = ,

a21 = ,

a22 =

Therefore, A =

(iii)

a11 = ,

a12 = ,

a21 = ,

a22 =

Therefore, A = .

Solution 5

Solution 6

Solution 7
Solution 8
Solution 9

Solution 10

Solution 1

Solution 2
Solution 3

(i)

ii)

iii)

iv)

v)

vi)

Solution 4

Solution 5

Solution 6
Solution 7

Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13

Solution 14

Solution 15

Solution 16

Solution 17
Solution 18

Solution 19

Solution 20
Solution 21
Solution 22

Solution 1
Solution 2

Solution 3

Solution 4
Solution 5

Solution 6(i)

Solution 6(ii)

Solution 7
Solution 8
Solution 9

Solution 10

Solution 11
Solution 12

## Chapter 3 - Matrices Exercise Ex. 3.4

Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6

Solution 7

Solution 8
Solution 9
Solution 10

Let A =

Now, det(A)=|A|=6-4=2≠0

Therefore, inverse of A exist.

We know that, A=AI

….. (C2C2+C1)

….. (C1C1+6C2)

….. (C1C1)

….. (C2C2)

Solution 11

Solution 12
Solution 13
Solution 14
Solution 15

Solution 16

Solution 17

Solution 18

Solution 1

Solution 2

Solution 3

Solution 4
Solution 5

Solution 6
Solution 7
Solution 8
Solution 9
Solution 10

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Solution 11

Solution 12

Solution 13
Solution 14
Solution 15