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 adjoint and inverse of a matrix exercise multiple choice questions question 7 maths textbook solution

please solve rd sharma class 12 chapter adjoint and inverse of a matrix exercise multiple choice questions question 7 maths textbook solution

Answers (1)

best_answer

: option (c) a6

Given: A=\left[\begin{array}{lll} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a \end{array}\right]

Hint: Find  \left | adj A \right | , find adj A

Solution:

\begin{aligned} &A=\left[\begin{array}{lll} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a \end{array}\right]\\ &\operatorname{Adj} A=\left[\begin{array}{ccc} a^{2} & 0 & 0 \\ 0 & a^{2} & 0 \\ 0 & 0 & a^{2} \end{array}\right]^{T}\\ &=\left[\begin{array}{ccc} a^{2} & 0 & 0 \\ 0 & a^{2} & 0 \\ 0 & 0 & a^{2} \end{array}\right]\\ &|\operatorname{adjA}|=a^{2}\left(a^{4}-0\right)=a^{2} \cdot a^{4}=a^{6} \end{aligned}

Hence, option c is correct.

 

Posted by

Info Expert 29

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 10th, 12th Results 2025 Live: How to check CBSE result on Digilocker? Date, time updates
anam-khan

Board Exam Result 2025 Live: UK Board 10th, 12th results tomorrow; AP SSC, TS Inter, UP, CBSE updates

Latest Question