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NCERT Solutions Class 12 Maths Chapter 3 - Matrices

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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 )  
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FAQs on NCERT Solutions Class 12 Maths Chapter 3 - Matrices

1. What are matrices?
Ans. Matrices are rectangular arrays of numbers, symbols, or expressions arranged in rows and columns. They are used to represent and manipulate data in various fields, such as mathematics, physics, computer science, and economics.
2. How are matrices represented?
Ans. Matrices are typically represented using brackets or parentheses. The number of rows and columns in a matrix determines its dimensions. For example, a matrix with 3 rows and 4 columns is called a 3x4 matrix.
3. What are the operations that can be performed on matrices?
Ans. Matrices can be added, subtracted, and multiplied by a scalar value. Addition and subtraction are performed by adding or subtracting corresponding elements of the matrices. Multiplication involves multiplying and summing the products of corresponding elements.
4. Can matrices be multiplied together?
Ans. Yes, matrices can be multiplied together, but there are certain rules that need to be followed. The number of columns in the first matrix should be equal to the number of rows in the second matrix. The resulting matrix will have the number of rows of the first matrix and the number of columns of the second matrix.
5. How are matrices useful in real-world applications?
Ans. Matrices are widely used in various real-world applications. They are used in computer graphics to represent transformations, in economics to model input-output relationships, in physics to describe linear systems, and in data analysis to represent and manipulate large datasets. Matrices provide a convenient way to organize and manipulate data efficiently.
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