Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for rd sharma maths class 12 chapter adjoint and inverse of a matrix exercise multiple choice question question 13

Provide solution for rd sharma maths class 12 chapter adjoint and inverse of a matrix exercise multiple choice question question 13

Answers (1)

:  option (a) A2

Given:  A^{3}=I

Hint: to find A-1,  multiple both side by A-1

Solutions:

A^{3}=I

Post multiplying by A-1  both sides

\begin{aligned} &A^{3} \cdot A^{-1}=\mathrm{I} \cdot A^{-1} \\ &A^{2} \cdot A \cdot A^{-1}=\mathrm{I} \cdot A^{-1} \\ &A^{2} \cdot \mathrm{I}=A^{-1} \quad\left(\therefore A A^{-1}=\mathrm{I}\right) \\ &\Rightarrow A^{-1}=A^{2} \end{aligned}

Hence, option (a) 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

Board Exam Time Table 2025 Live: UP Board exams from February 24; CBSE, BSEB date sheet soon
anam-khan

CBSE Date Sheet 2025 Live: Class 10, 12 board exam dates soon; syllabus, sample papers
anam-khan

Extra time in CBSE exams for students with type 1 diabetes: Kerala SHRC seeks report on plea

Latest Question