NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Matrices in Hindi Medium and English Medium free to download in PDF form or use online without download updated for new academic session 2020-2021.

All solutions are based on new CBSE Curriculum 2020-21 for CBSE MP Board and UP Board students following NCERT Books 2020-21. Download (Exercise 3.4) in PDF or use online solutions given below.




NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4

Class:12
Subject:Maths
Chapter 3:Exercise 3.4

12th Maths Exercise 3.4 Solutions

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Matrices in English Medium update for the current academic session 2020-21 for UP Board and CBSE Board students who are following the latest NCERT Books. Get all the exercises of Class 12 Mathematics Chapter 3 from main page. Share your knowledge with each other for NIOS board or CBSE Board in Discussion forum.



Important Questions with Answers for Practice

1. A matrix X has a + b rows and a + 2 columns while the matrix Y has b + 1 rows and a + 3 columns. Both matrices XY and YX exist. Find a and b. Can you say XY and YX are of the same type? Are they equal. [Answer: a = 2, b = 3, No]
2. Prove that the diagonal elements of a skew-symmetric matrix are all zero.
3. Give examples of matrices (i) A and B such that AB ≠ BA. (ii) A and B such that AB = O but A ≠ O, B ≠ O. (iii) A and B such that AB = O but BA ≠ O. (iv) A, B and C such that AB = AC but B ≠ C, A ≠ O.
4. If A and B are skew symmetric matrices of the same order, prove that AB + BA is symmetric matrix.




Questions from Board Papers

1. Let A and B be square matrices of the same order. Does (A + B)² = A² + 2AB + B² hold? If not, why?
2. The monthly incomes of Mohan and Sohan are in the ratio 3:4 and their monthly expenditures are in the ratio 5:7. If each saves ₹15000 per month, find their monthly incomes and expenditures using matrices. [Answer: ₹90000 and ₹120000]
3. For any square matrix write whether AA’ is symmetric of skew-symmetric.
4. Three shopkeepers A, B and C go to a store to buy stationary. A purchase 12 dozen notebooks, 5 dozen pens and 6 dozen pencils. B purchases 10 dozen notebooks, 6 dozen pens and 7 dozen pencils. C purchases 11 dozen notebooks, 13 dozen pens and 8 dozen pencils. A notebook costs 40 paise, a pen costs ₹1.25 and a pencil costs 35 paise. Use matrix multiplication to calculate each individual’s bill. [Answer: ₹157.80, ₹167.40 and ₹281.40]



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NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 in English medium
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 in PDF
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Question 1, 2, 3, 4, 5, 6, 7, 8
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Question 9, 10, 11, 12, 13, 14
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Question 15 & 16
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Question 17 & 18 in English medium
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 in Hindi Medium
NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.4 Question 1, 2, 3, 4, 5 in Hindi
12 Maths Chapter 3 Exercise 3.4 solutions Question 5, 6, 7
12 Maths Chapter 3 Exercise 3.4 solutions in Hindi Medium
12 Maths Chapter 3 Exercise 3.4 solutions Question 8, 9, 10, 11, 12, 13, 14
12 Maths Chapter 3 Exercise 3.4 solutions Question 15, 16
12 Maths Chapter 3 Exercise 3.4 solutions Question 17 & 18 in Hindi medium