profile-img
Deepak Patra posted an Question
December 13, 2021 • 08:50 am 30 points
  • IIT JAM
  • Mathematics (MA)

Is the statement is always true????????if a is an idempotent non-singular matrix, then a must be identity matrix

Is the statement is always true????????If A is an idempotent non-singular matrix, then A must be identity matrix

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • comment-profile-img
    Navdeep goyal 1 Best Answer

    check attachment true

    cropped5952682866101030767.jpg
    eduncle-logo-app

    if i take an example which can contradict the given statement.. then the statement has to be false.... so take A to be [1,0,0,0] .. the matrix is idempotent but not Identity....

    eduncle-logo-app

    it is non singular

    eduncle-logo-app

    here non singular also given

    eduncle-logo-app

    yes, i got my point .. thanks

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers