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

Your CBSE Class 12 syllabus for Maths consists of topics such as linear programming, vector quantities, determinants, etc. which lay the foundation for further education in science, engineering, management, etc. Studying differential equations will be useful for exploring subjects such as Physics, Biology, Chemistry, etc. where your knowledge can be applied for scientific investigations.

On TopperLearning, you can find study resources such as sample papers, mock tests, Class 12 Maths NCERT solutions and more. These learning materials can help you understand concepts such as differentiation of functions, direction cosines, integrals, and more. Also, you can practise the Maths problems by going through the solutions given by our experts.

Maths is considered as one of the most difficult subjects in CBSE Class 12 Science. Our Maths experts simplify complex Maths problems by assisting you with the right methods to solve problems and score full marks. You may still have doubts while referring to the Maths revision notes or Maths NCERT solutions. Solve those doubts by asking an expert through the “Undoubt” feature on the student dashboard.

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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

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

Solution 11

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 12
Ncert Solutions Cbse Class 12-science Mathematics Chapter - Matrices
Solution 13
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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Why CBSE Class 12 Science Maths solutions are important?

Maths is a subject which requires practising a variety of problems to understand concepts clearly. By solving as many problems as you can, you’ll be able to train your brain in thinking the logical way to solve maths problems. For practising problems, study materials such as sample papers, previous year papers, and NCERT solutions are needed.

Some of the best Maths experts work with us to give you the best solutions for Maths textbook questions and sample paper questions. Chapter-wise NCERT solutions for Class 12 Science Maths can be easily accessible on TopperLearning. Use these solutions to practise problems based on concepts such as direction ratios, probability, area between lines, inverse trigonometric functions, and more.

To prepare for your Maths exam, you need to attempt solving different kinds of Maths questions. One of the best ways to assess your problem-solving abilities is to attempt solving previous year papers with a set timer. Our Maths solutions will come in handy to help you with checking your answers and thus, improving your learning experience. So, to score more marks in your Class 12 board exams, use our Maths solutions that will enable you with the appropriate preparation.