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
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