sign up I login
 advanced
refer a friend - earn nickels!!

Ask & Discuss Questions with Community & Experts

 Moderation Team
Ask iit jee aieee pet cbse icse state board experts Discussion Response Post to: matrices
Forum Index -> Algebra -> View Full Question like the article? email it to a friend.  
Author Message
[Post New]7 Apr 2007 00:33:32 IST
    Subject: Re:matrices
[Up]
iitkgp_bipin (5867)

Forum Expert Blazing goIITian

Olaaa!! Perrrfect answer. 1001  bad job dude!! I dont approve of this answer! 1  [1434 rates]
iitkgp_bipin's Avatar
total posts: 4018    
offline Offline
Since it is a nilpotent matrix of index 2 , A2 = 0
Hence A3,A4,A5,A6......  all are zero matrix.

(A+I)n = nC0In + nC1A.In-1 + nC2A2In-2 + ....... = I + nA

Hence A(A+I)n = A(I + nA)

                      = A.I + n.A2
        
                      = A
Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

 this reply: 2 points  (with 0 Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
 

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya