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

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Plus Two Math's Solution Ex 3.4 Chapter3 : Matrices

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.

If you simply can't find the right answer to your Plus Two Maths questions, you're not alone. It may feel like no one understands what you're going through. But now, you can put away your Plus Two Maths textbook for good, because we have the answers to all of your questions.


BoardSCERT, Kerala
Text BookNCERT Based
ClassPlus Two
SubjectMath's Textbook Solution
ChapterChapter 3
ExerciseEx 3.4
Chapter NameMatrices
CategoryPlus Two Kerala


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


Chapter 3  Matrices Solution



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

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

We know that A = IA


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

We know that A = IA


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

We know that A = IA


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

We know that A = IA


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

We know that A = IA


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

We know that A = IA


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

We know that A = IA


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

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


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

We know that A = IA


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

We know that A = AI


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

We know that A = AI


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

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.

 


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

We know that A = IA


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

#

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

(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


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

We know that A = IA

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


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

We know that A = IA

Applying, we have:


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 = 

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


Chapter 3 Matrices Exercise 3.4 Textbook Solution - Preview

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Plus Two Math's Chapter Wise Textbook Solution PDF Download


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