Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Choose the correct answer in the Exercises 11 and 12. If A, B are symmetric matrices of same order, then AB minus BA is a (A) Skew symmetric matrix (B) Symmetric matrix (C) Zero matrix (D) Identity matrix

Choose the correct answer in the Exercises 11 and 12.

Q11.    If A, B are symmetric matrices of same order, then AB – BA is a

            (A) Skew symmetric matrix
            (B) Symmetric matrix
            (C) Zero matrix
            (D) Identity matrix

Answers (1)

best_answer

  If A, B are symmetric matrices then 

                                                 A'=A       and      B' = B

we have,             \left ( AB-BA \right )'=\left ( AB \right )'-\left ( BA \right )'=B'A'-A'B'

                                                                                             =BA-AB

                                                                                             = -(AB-BA)

                       Hence, we have  (AB-BA) = -(AB-BA)'

Thus,( AB-BA)' is skew symmetric.

Option A is correct.

     

Posted by

seema garhwal

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