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

Chapter 3 - Matrices Exercise Ex. 3.1

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 4

Let A = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

(i)

a11 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a12 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a21 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a22 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Therefore, A = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

(ii)

a11 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a12 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a21 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a22 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Therefore, A = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

(iii)

a11 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a12 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a21 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices,

a22 = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Therefore, A = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices. 

Solution 5

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 6
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 9

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 10
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Chapter 3 - Matrices Exercise Ex. 3.2

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 3


(i) Ncert Solutions Cbse Class 12-science Mathematics Chapter - MatricesNcert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

ii)Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

iii)Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

iv)Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

v)Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

vi)Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 5
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 6
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 7

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

 
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 9
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 10
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 11
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 13

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 14

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 15
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 16
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 17
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 19
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 20
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 21
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 22
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Chapter 3 - Matrices Exercise Ex. 3.3

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 2

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 3

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 5

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 6(i)

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 6(ii)
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 9

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 10

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 11
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Chapter 3 - Matrices Exercise Ex. 3.4

Solution 1
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 5
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 6
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 9
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 10

Let A = Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Now, det(A)=|A|=6-4=2≠0

Therefore, inverse of A exist.

We know that, A=AI

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices ….. (C2C2+Ncert Solutions Cbse Class 12-science Mathematics Chapter - MatricesC1)

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices ….. (C1C1+6C2)

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices ….. (C1Ncert Solutions Cbse Class 12-science Mathematics Chapter - MatricesC1)

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices ….. (C2Ncert Solutions Cbse Class 12-science Mathematics Chapter - MatricesC2)

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices 

Solution 11

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 13
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 15
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 16
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 17
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 18
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Chapter 3 - Matrices Exercise Misc. Ex.

Solution 1


Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 2
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 3
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 4
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 5

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 6
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 7
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 8
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 9
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 10

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices\

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 11

Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices

Solution 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 13
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 14
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 15
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
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