Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days
8104911739
For Business Enquiry

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

Q: in trace od\f matrices tr(0)=0 tr(I)=n how

Asked by 8th March 2013, 6:03 PM
Answered by Expert
Answer:
The trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A.
 
So, tr(0) = trace of zero matrix = 0
Since, all the elments of a zero matrix are equal to 0.
 
tr(I) = 1+1+1+...+1 (n times) = n
Since, the identity matrix of order n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
Answered by Expert 10th March 2013, 7:10 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

23rd May 2017, 5:09 PM
23rd May 2017, 1:46 PM
23rd May 2017, 3:24 PM
23rd May 2017, 2:36 PM

Chat with us on WhatsApp