Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 23 Maths Textbook Solution

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 23 Maths Textbook Solution

Answers (1)

Answer: AB=BA

Both must be commutative to each other

Hint: Here to solve this we use the basic concept of skew symmetric matrix

Given: A \: and \: B is symmetric matrix

Solution:

A \: and \: B is symmetric then

A=A^{T}\cdot \cdot \cdot \cdot \cdot \left ( i \right )

B=B^{T}\cdot \cdot \cdot \cdot \cdot \left ( ii \right )

→So, let AB can be symmetricAB=\left ( AB^{T} \right ) =B^{T}A^{T} =BA          

From equation (i) and (ii)AB=BA

→So, condition is A \: and \: B matrix must be commutative and AB=BA

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years

Latest Question