NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.3

NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.3 includes all the Matrices questions of the Exercise. You can easily download the Free PDF for NCERT Solutions Maths Class 12.

• NCERT Solutions Class 12 Maths Chapter 3: Matrices

Download Free PDF for NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.3

Download NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.3

 

You can easily download the PDF for Class 12 Maths Exercise 3.3 Chapter 3 that too absolutely free. This PDF is based on the all the important topics included in chapter 3 Exercise 3.3. The questions are based on the 12th CBSE board Maths Chapter 3 topics such as order, equality, transpose of a Matrix.

Topics included in the NCERT Solutions for Class 12 Maths Exercise 3.3 PDF

You can look over the topics included in NCERT Solutions Class 12 Maths Ch 3 Exercise 3.3

• Transpose of Matrix
• Properties of the transpose of the matrix
• Symmetric and skew-symmetric Matrices

Access Answers other NCERT Class 12 Chapter 3 Matrices 

You can also download the Free PDF for NCERT Solutions Class 12 Maths Chapter 3 other exercises:

Class 12 Maths Chapter 3: Exercise 3.1

Class 12 Maths Chapter 3: Exercise 3.2

Class 12 Maths Chapter 3: Exercise 3.4

NCERT Solutions for Class 12 Maths Exercise 3.3- Matrices: Formulas Used

Check out the basic formula used in NCERT Solutions Class 12 Maths Chapter 3 Exercises:

• 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 Ch 3 Exercise 3.3. If you have any queries, feel free to ask in the comment section below.

FAQ: NCERT Solutions Class 12 Maths Chapter 3 Exercise 3.3