CSIR NET
profile-img
Sudhanshu ranjan Asked a Question
August 26, 2020 11:43 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Prove that there are no n×n matrix x and y such that xy - yx = i, where i is n×n identity matrix and n is positive integer

Prove that there are no n×n matrix X and Y such that XY - YX = I, where I is n×n identity matrix and n is positive integer
  • 2 Answer(s)
Answer Now
  • 0 Likes
  • 2 Comments
  • Shares
  • Anonymous User Best Answer
    See the attachment
    • cropped5827596603940188166.jpg
    Likes(0) Reply(0)
  • Anonymous User thankyou
    Here I used the two important results related to trace of the matrices.... tr (A +B) = tr A + tr B and tr(AB) = tr(BA)
    Likes(0) Reply(0)
How Eduncle Helps You ?
StudentTutorInstitutionApp
Help
FAQsPayment TermsRefund PolicyAsk Support
Head Office :
MPA 44, 2nd floor, Rangbari main Road Mahaveer Nagar II, Kota (Raj.) - 324005

Branch Office (Jaipur):
Shyam Tower, Plot No. F2, 6th Floor Amrapali Circle,
Vaishali Nagar, Jaipur, Rajasthan 302021

Mail: info@eduncle.com
All Rights Reserved © Eduncle.com