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
A is a square matrix and Ι is an identity matrix of the same order. If A3=O, then inverse of matrix Ι-A is
MathematicsMatricesJEE Main
Options:
  • A Ι+A
  • B Ι-A+A2
  • C A+A2
  • D Ι+A+A2
Solution:
1794 Upvotes Verified Answer
The correct answer is: Ι+A+A2

We know,

I-AΙ+A+A2=Ι-A3=Ι
Hence, Ι-A-1=Ι+A+A2

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.