SaralUPSC
  • Home
  • Blogs
  • Prelims Questions
  • Mains Questions
  • Tests
Start Free Test
SaralUPSC

Saral Preparation Pvt. Ltd.

Delhi, India

support@saralupsc.com

Toll Free: 1800 000 0000

Office Hours: 10 AM – 7 PM (All 7 days)

Company

  • About Us
  • Careers
  • Contact Us
  • Media
  • Sitemap

Products

  • Test Series
  • Live Quizzes
  • Notes
  • Videos
  • Blog

Useful Links

  • Prelims Questions
  • Mains Questions
  • Free Tests
  • Sign Up
  • Login

Follow us

© 2026 Saral Preparation Pvt. Ltd.. All rights reserved.

  • Privacy
  • Terms
  • User Policy
  1. Home
  2. /Prelims Questions
  3. /Miscellaneous
  4. /Question
Miscellaneous·2023·Easy

If A = [ 2 0 0 0 3 0 0 0 4 ], then which of the following statements are correct? 1. Aⁿ will always be singular for any positive integer n 2. Aⁿ will always be a diagonal matrix for any positive integer n 3. Aⁿ will always be a symmetric matrix for any positive integer n Select the correct answer using the code below:

If A =
[ 2 0 0
0 3 0
0 0 4 ],
then which of the following statements are correct?

1. Aⁿ will always be singular for any positive integer n

2. Aⁿ will always be a diagonal matrix for any positive integer n

3. Aⁿ will always be a symmetric matrix for any positive integer n

Select the correct answer using the code below:

Options

  1. a.

    1 and 2 only

  2. b.

    2 and 3 only

    Correct answer
  3. c.

    1 and 3 only

  4. d.

    1, 2 and 3

Share

  • Share on X
  • Share on WhatsApp
  • Share on LinkedIn

Related prelims questions

  • For election to the Lok Sabha, a nomination paper can be filed by

    Miscellaneous · Easy

  • In a month if the seventh day is three days earlier than Saturday,then the nineteenth day of the month will be a

    Miscellaneous · Easy

  • Which among the following events happened earliest ?

    Miscellaneous · Easy

  • An 80-litre solution of alcohol and water has 75% alcohol. How much water (in litres) must be added to bring down the concentration of alcohol to 60%?

    Miscellaneous · Easy