NCERT Solutions for Class 12-science Maths Chapter 3 - Matrices
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
Chapter 3 - 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
Chapter 3 - 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
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
….. (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 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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