Question
Download Solution PDFIf for the matrix A, A3 = I then A−1 = __________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
We are given that A3 = I, where I is the identity matrix.
This implies: A × A × A = I
Now, multiply both sides by A-1 on the right:
A × A × A × A-1 = I × A-1
⟹ A × A = A2 = A-1
⟹ A-1 = A2
Final Answer: Option 1) A2 ✅
Last updated on Jun 12, 2025
-> NIELIT Scientific Assistant city intimation slip 2025 has been released at the official website.
-> NIELIT Scientific Assistant exam 2025 is scheduled to be conducted on June 28.
-> A total number of 113 revised vacancies have been announced for the post of Scientific Assistant in Computer Science (CS), Information Technology (IT), and Electronics & Communication (EC) streams.
-> Online application form, last date has been extended up to from 17th April 2025.
->The NIELT has revised the Essential Qualifications for the post of Scientific Assistant. Candidates must possess (M.Sc.)/ (MS)/ (MCA) / (B.E.)/ (B.Tech) in relevant disciplines.
-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).