rank of a matrix.......
14 Apr 2007 20:08:15 IST
rank of a matrix.......
how to find rank in a shrtcut way
see by an example.................
1.....2.....3.....0
2.....4.....3.....2
3.....2.....1.....3
6.....8.....7.....5
now see the digits wich are repeating
here 2(4 times) and 3(4 times)
so rank is no. of repetitions of larges digit (here three)
so rank is four
if no repetition then
rank = (sum of elements of primary diagonals) - (sum of elements of secendary diagonals)
hope u find these cool

Comments (12)
PRAKHAR MITTAL
Blazing goIITian

Joined: 11 Dec 2006 20:24:09 IST
Posts: 999
14 Apr 2007 20:15:14 IST
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gud yaar
14 Apr 2007 20:43:30 IST
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consider this
3.......6........3..........4
2.......1........3..........7
3.......2........3..........9
1.......3........8..........3
here 3 is repeated 7 times...........then is the rank 7?......... for a 4 X 4 matrix the maximum rank possible should be 4
14 Apr 2007 21:40:46 IST
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here the primary diagonal and secondary diagonal means what? pls any one comment here
14 Apr 2007 22:00:27 IST
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primary diagonal like here 1+4 +1 +5
and secendary diagonal is 6+2+3+0
here don't apply coz here is repitition
and secendary diagonal is 6+2+3+0
here don't apply coz here is repitition
15 Apr 2007 11:09:20 IST
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theese are for those qs in wich repitition is (n+1) times only
where n=highest order
eg. 4x4 then n = 4
max. rank can be (n+1)
where n=highest order
eg. 4x4 then n = 4
max. rank can be (n+1)
6 Feb 2008 08:46:02 IST
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heyy sorry....actually the rank is 3....it was a misprint....power nahi lete.....power wali term lete hain
3 has max power.....so rank is 3
3 has max power.....so rank is 3
6 Feb 2008 18:45:24 IST
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vignesh, i suppose it's 3...cuz that's repeated d most
12 Feb 2008 20:52:44 IST
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Excuse me!! Kya eda banaya re???
if in a 4*4 matrix 7 is the lagest term and it is repeating max no. of times thn rank is 7.........
Jhakasssssssss funda h........... Aur sabko yahan dikhta nahi kya?
Guys u r preparing for iit-jee ??
Strange man.... Buddy edit it or delete this article of urs permanently...
N yes sorry if ne communal feelings are being hurted by my statement bt how can it b like thn u blindly jst read n article n never go in depth........
sorry once more!!!!
if in a 4*4 matrix 7 is the lagest term and it is repeating max no. of times thn rank is 7.........
Jhakasssssssss funda h........... Aur sabko yahan dikhta nahi kya?
Guys u r preparing for iit-jee ??
Strange man.... Buddy edit it or delete this article of urs permanently...
N yes sorry if ne communal feelings are being hurted by my statement bt how can it b like thn u blindly jst read n article n never go in depth........
sorry once more!!!!













