Get Answers to all your Questions

header-bg qa

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 30 Maths Textbook Solution.

Answers (1)

Answer: AB-BAis skew symmetric matrix

Hint: We must know the basic of matrix multiplication

Given: Aand Bare symmetric matrix

Solution:

A^{T}=A          ……(i)

B^{T}=B          ……(ii)

Let AB-BA and take transpose

\left ( AB-BA \right )^{T}=\left ( AB \right )^{T}-\left ( BA \right )^{T}

                           =B^{T}A^{T}-A^{T}B^{T}

                           = BA-AB                   [From eqn(i) and (ii)]

AB-BA=-\left ( AB-BA \right )

So, AB-BAis skew symmetric matrix

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

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