NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.2

NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.2 cover all the important topics with detailed explanation. The exercise is prepared by the expert teachers as per the 12th CBSE board NCERT Books Guidelines.

• NCERT Solutions Class 12 Maths Chapter 3: Matrices

These solutions will help you in clearing all your doubts while solving the exercise 3.2 solutions during preparation.  

Download Free PDF for NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.2 

Download Free PDF for NCERT Solutions  Maths Class 12 Chapter 3 Exercise 3.2

 

The above PDF is based on the topics included in the NCERT Class 12 Maths Chapter 3 Exercise 3.2.  

Topics Include in the NCERT Class 12 Maths Chapter 3 Exercise 3.2 

This Exercise includes these topics:  

1. Operations on Matrices  
2. Addition of Matrices  
3. Multiplication of a Matrix by a scalar  
4. Properties of Matrix Addition  
5. Properties of Scalar Multiplication of a Matrix  
6. Multiplication of Matrices  
7. Properties of Multiplication of Matrices  

Access Other Exercise NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.2 

You can download the NCERT Solutions Maths Class 12 Chapter 3 for other Exercises as well.  

• Exercise 3.1  
• Exercise 3.3
• Exercise 3.4 

NCERT Solutions for Class 12 Maths Chapter 3.2- Matrices: Formulas Used

• A matrix that has m rows and n columns is called a matrix of order m × n.
• [aij]m×1 is a column matrix.
• [aij]1×n is a row matrix.
• An m × n matrix is a square matrix if m=n.
• A = [aij]m×m is a diagonal matrix if aij=0, when i≠j.
• A = [aij]n×n is a scalar matrix if aij=0, when i≠j, aij=k (k is some constant), when i=j.
• A = [aij]n×n is an identity matrix if aij=1, when i=j, aij=0, when i≠j.
• A zero matrix has all its elements as zero.
• A = [aij] = [bij] = B if (i)A and B of the same order, (ii) aij = bij for all possible values of i and j.
• kA = k[aij]m×n = [k(aij)m×n]
• -A = (-1) A
• A – B = A + (-1) B
• A + B = B + A
• (A + B) + C = A + (B + C), where A, B and C are of the same order.
• k (A + B) = kA + kB, where A and B are of the same order, k is constant.
• (k + l) A = kA + lA, where k and l are constant.

We have provided the NCERT Solutions PDF for Class 12 Maths Chapter 3 Exercise 3.2. If you have any queries, feel free to ask in the comment section below.

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