NCERT Solutions Class 12 Maths Chapter 3 - Matrices

 Page 1


Exercise 3.2 
Question 1: 
Let 
Find each of the following 
(i)  (iv) 
Answer 
 (i) 
(ii) 
(iii) 
(iv) Matrix A has 2 columns. This number is equal to the number of rows in matrix B.
Therefore, AB is defined as: 
( ii) ( iii) ( v)
 
Page 2


Exercise 3.2 
Question 1: 
Let 
Find each of the following 
(i)  (iv) 
Answer 
 (i) 
(ii) 
(iii) 
(iv) Matrix A has 2 columns. This number is equal to the number of rows in matrix B.
Therefore, AB is defined as: 
( ii) ( iii) ( v)
 
(v) Matrix B has 2 columns. This number is equal to the number of rows in matrix A.
Therefore, BA is defined as: 
Question 2:  
Compute the following: 
(i)  
(iii) 
(v) 
Answer 
 (i) 
( ii )  
( ii)
Page 3


Exercise 3.2 
Question 1: 
Let 
Find each of the following 
(i)  (iv) 
Answer 
 (i) 
(ii) 
(iii) 
(iv) Matrix A has 2 columns. This number is equal to the number of rows in matrix B.
Therefore, AB is defined as: 
( ii) ( iii) ( v)
 
(v) Matrix B has 2 columns. This number is equal to the number of rows in matrix A.
Therefore, BA is defined as: 
Question 2:  
Compute the following: 
(i)  
(iii) 
(v) 
Answer 
 (i) 
( ii )  
( ii)
Question 3:  
Compute the indicated products 
( iii )  
( iv )  
Page 4


Exercise 3.2 
Question 1: 
Let 
Find each of the following 
(i)  (iv) 
Answer 
 (i) 
(ii) 
(iii) 
(iv) Matrix A has 2 columns. This number is equal to the number of rows in matrix B.
Therefore, AB is defined as: 
( ii) ( iii) ( v)
 
(v) Matrix B has 2 columns. This number is equal to the number of rows in matrix A.
Therefore, BA is defined as: 
Question 2:  
Compute the following: 
(i)  
(iii) 
(v) 
Answer 
 (i) 
( ii )  
( ii)
Question 3:  
Compute the indicated products 
( iii )  
( iv )  
(i)  
(ii) 
(iii) 
(iv)  
(v) 
(vi) 
Answer 
Page 5


Exercise 3.2 
Question 1: 
Let 
Find each of the following 
(i)  (iv) 
Answer 
 (i) 
(ii) 
(iii) 
(iv) Matrix A has 2 columns. This number is equal to the number of rows in matrix B.
Therefore, AB is defined as: 
( ii) ( iii) ( v)
 
(v) Matrix B has 2 columns. This number is equal to the number of rows in matrix A.
Therefore, BA is defined as: 
Question 2:  
Compute the following: 
(i)  
(iii) 
(v) 
Answer 
 (i) 
( ii )  
( ii)
Question 3:  
Compute the indicated products 
( iii )  
( iv )  
(i)  
(ii) 
(iii) 
(iv)  
(v) 
(vi) 
Answer 
(iv) 
 (i)  
( ii )  
( iii )