Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $\mathrm{A}$ is an identity matrix of order 3 , then its inverse $\left(\mathrm{A}^{-1}\right)$
MathematicsMatricesNDANDA 2019 (Phase 1)
Options:
  • A is equal to null matrix
  • B is equal to $\mathrm{A}$
  • C is equal to $3 \mathrm{~A}$
  • D does not exist
Solution:
2367 Upvotes Verified Answer
The correct answer is: is equal to $\mathrm{A}$
Given, A is an identity matrix. $\therefore \mathrm{A}=\mathrm{I}$
We know, $\mathrm{I}^{-1}=\mathrm{I}$
$\therefore \mathrm{A}^{-1}=\mathrm{A}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.