Plus Two Math's Solution Ex 3.4 Chapter 3 Matrices | Kerala Notes

Discover how to improve your maths grades with our high-quality, easy-to-understand maths textbook solutions. Our solutions are packed with information to ensure you get the best out of your studying Here is the solution for Exercise 3.4 Chapter 3 Matrices of NCERT plus two maths. Here we have given a detailed explanation of each and every exercise so that students can understand the concepts easily without any difficulty. The solution to each and every question is provided here so you can solve them by yourself if you don’t get the answer here.

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Board	SCERT, Kerala
Text Book	NCERT Based
Class	Plus Two
Subject	Math's Textbook Solution
Chapter	Chapter 3
Exercise	Ex 3.4
Chapter Name	Matrices
Category	Plus Two Kerala

Kerala Syllabus Plus Two Math's Textbook Solution Chapter  3 Matrices Exercises 3.4

Chapter 3  Matrices Solution

• Exercises 3.1
• Exercises 3.2
• Exercises 3.3
• Exercises 3.4
• Miscellaneous Exercise Chapter 3

Kerala plus two maths NCERT textbooks, we provide complete solutions for the exercise and answers provided at the end of each chapter. We also cover the entire syllabus given by the Board of secondary education, Kerala state.

Chapter 3  Matrices Exercise   3.4

Question 1:

Find the inverse of each of the matrices, if it exists.

Solution 1:

We know that A = IA

Question 2:

Find the inverse of each of the matrices, if it exists.

Solution 2:

We know that A = IA

Question 3:

Find the inverse of each of the matrices, if it exists.

Solution 3:

We know that A = IA

Question 4:

Find the inverse of each of the matrices, if it exists.

Solution 4:

We know that A = IA

Question 5:

Find the inverse of each of the matrices, if it exists.

Solution 5:

We know that A = IA

Question 6:

Find the inverse of each of the matrices, if it exists.

Solution 6:

We know that A = IA

Question 7:

Find the inverse of each of the matrices, if it exists.

Solution 7:

We know that A = IA

Question 8:

Find the inverse of each of the matrices, if it exists.

Solution 8:

If A is the given matrix, Inverse of A = adj(A)/|A|, where |A| is the determinant of A.

We know that A = AI

where |A| = ad-bc = 1

Question 9:

Find the inverse of each of the matrices, if it exists.

Solution 9:

We know that A = IA

Question 10:

Find the inverse of each of the matrices, if it exists.

Solution 10:

We know that A = AI

Question 11:

Find the inverse of each of the matrices, if it exists.

Solution 11:

We know that A = AI

Question 12:

Find the inverse of each of the matrices, if it exists.

Solution 12:

We know that A = IA

As |A| = 0 , which means that the given matrix is a singular matrix.

And inverse only exists for non singular matrices.

Hence for the matrix, inverse does not exist.

 

Question 13:

Find the inverse of each of the matrices, if it exists.

Solution 13:

We know that A = IA

Question 14:

Find the inverse of each of the matrices, if it exists.

#

Find the inverse of each of the matrices, if it exists.

Solution 14:

(i)

We know that A = IA

Applying, we have:

Now, in the above equation, we can see all the zeros in the first row of the matrix on the L.H.S.

Therefore, A⁻¹ does not exist.
(ii)

We know that A = IA

Question 15:

Find the inverse of each of the matrices, if it exists.

Solution 15:

We know that A = IA

Applying R₂→ R₂ + 3R₁ and R₃→ R₃ − 2R₁, we have:

Question 16:

Find the inverse of each of the matrices, if it exists.

Solution 16:

We know that A = IA

Applying, we have:

Question 17:

Matrices A and B will be inverse of each other only if

A. AB = BA

C. AB = 0, BA = I

B. AB = BA = 0

D. AB = BA = I 

Solution 17:

Answer: D

We know that if A is a square matrix of order m, and if there exists another square matrix B of the same order m, such that AB = BA = I, then B is said to be the inverse of A. In this case, it is clear that A is the inverse of B.

Thus, matrices A and B will be inverses of each other only if AB = BA = I.

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Chapter 3: Matrices Exercise 3.4 Textbook Solution

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Chapter 3 Matrices Exercise 3.4 Textbook Solution - Preview

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Plus Two Math's Chapter Wise Textbook Solution PDF Download

            Plus Two Math's Part I

• Chapter 1: Relations and Functions
• Chapter 2: Inverse Trigonometric Functions
• Chapter 3: Matrices
• Chapter 4: Determinants
• Chapter 5: Continuity and Differentiability
• Chapter 6: Application of Derivatives



             Plus Two Math's Part II

• Chapter  7: Application of Integrals
• Chapter  8: Integrals
• Chapter  9: Differential Equations
• Chapter 10: Vector Algebra
• Chapter 11: Three Dimensional Geometry
• Chapter 12: Linear Programming
• Chapter 13: Probability

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