rank of a matrix.......

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14 Apr 2007 20:08:15 IST
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14 Apr 2007 20:08:15 IST
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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)
 
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Comments (12)


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

Hot goIITian

Joined: 15 Jan 2007 12:29:23 IST
Posts: 107
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

Cool goIITian

Joined: 24 Feb 2007 21:26:15 IST
Posts: 99
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

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Joined: 19 Feb 2007 19:24:42 IST
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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

Forum Expert
Joined: 19 Feb 2007 19:24:42 IST
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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)

Blazing goIITian

Joined: 25 Feb 2007 01:17:42 IST
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15 Apr 2007 11:28:01 IST
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thanx bro

Cool goIITian

Joined: 20 Feb 2007 16:30:28 IST
Posts: 51
16 Apr 2007 20:20:24 IST
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great

Forum Expert
Joined: 19 Feb 2007 19:24:42 IST
Posts: 3834
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

Scorching goIITian

Joined: 8 Apr 2007 12:31:13 IST
Posts: 287
6 Feb 2008 18:45:24 IST
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vignesh, i suppose it's 3...cuz that's repeated d most

Hot goIITian

Joined: 30 Jun 2007 15:37:33 IST
Posts: 148
7 Feb 2008 22:41:50 IST
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really cool!

Blazing goIITian

Joined: 6 May 2007 15:26:59 IST
Posts: 1025
8 Feb 2008 07:46:47 IST
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coool !!!

New kid on the Block

Joined: 28 Dec 2007 19:06:32 IST
Posts: 2
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!!!!



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