Mathematics · Linear Algebra
Let A, B be distinct 2 × 2 real matrices. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1If AB and BA have the same minimal polynomial, then either A or B must be invertible.
- 2If 0 is the only eigenvalue of A and of B, then 0 is the only eigenvalue of AB.
- 3If 0 is an eigenvalue of A, then 0 must be an eigenvalue of AB.
- 4If A is invertible, then AB and BA have the same minimal polynomial.✓
Correct answer
If A is invertible, then AB and BA have the same minimal polynomial.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Linear Algebra MCQs →Want more practice questions on Linear Algebra?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Linear Algebra