Mathematics · Linear Algebra
Let A be a 3 × 3 nilpotent matrix. Which of the following statements is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1A 3 is diagonalizable✓
- 2The eigenvalues of A are non-zero roots of unity
- 3The column space of A is {0}
- 4(I + A) n = I for some n > 0, where I is the identity matrix
Correct answer
A 3 is diagonalizable
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