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

Chapter 3 - Matrices Ex. 3.2
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

Chapter 3 - Matrices Ex. 3.3
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 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
….. (C2→C2+
C1)
….. (C1→C1+6C2)
….. (C1→
C1)
….. (C2→
C2)
Solution 11
Solution 12

Solution 13

Solution 14

Solution 15


Solution 16


Solution 17


Solution 18

Chapter 3 - Matrices Misc. Ex.
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

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