Class 12-science NCERT Solutions Maths Chapter 3 - Matrices
Ex. 3.1
Ex. 3.2
Ex. 3.3
Ex. 3.4
Misc. Ex.
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

Matrices Exercise 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

Matrices Exercise 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

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
….. (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

Matrices Exercise 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
