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RE: rank question


From: Montgomery-Smith, Stephen
Subject: RE: rank question
Date: Sat, 4 Jun 2016 04:48:13 +0000

I got this for the first set of row deformations, which is different from yours 
in the (4,7) spot. 

    1    2    3    4    5    6    7
    0   -8  -16  -24  -32  -40  -48
    0   -8  -16  -24  -32  -40  -48
    0   -8  -16  -24  -32  -40  -36
    0   -8  -16  -24  -32  -40  -48

________________________________________
From: Help-octave address@hidden on behalf of Tatsuro MATSUOKA address@hidden
Sent: Friday, June 03, 2016 11:39 PM
To: address@hidden; address@hidden
Subject: Re: rank question

Sorry for my confusing post.
I rewrite from the first. Please ignore the first two posts

>> A=[ 
1,2,3,4,5,6,7
7,6,5,4,3,2,1
9,10,11,12,13,14,15
6,4,2,0,-2,-4,6
10,12,14,16,18,20,22
] 
A =

    1    2    3    4    5    6    7
    7    6    5    4    3    2    1
    9   10   11   12   13   14   15
    6    4    2    0   -2   -4    6
   10   12   14   16   18   20   22

>> rank(A)
ans =  3


The same results  are obtained on Scilab and Maxima.

However, row basic deformations of A give to

    1    2    3    4    5    6    7
    0   -8  -16  -24  -32  -40  -48
    0   -8  -16  -24  -32  -40  -48
    0   -8  -16  -24  -32  -40  -48
    0   -8  -16  -24  -32  -40  -48

    1    2    3    4    5    6    7
    0    1    2    3    4    5    6
    0    0    0    0    0    0    0
    0    0    0    0    0    0    0
    0    0    0    0    0    0    0

Is not the rank of A two (2)?
Am I misled ?


Tatsuro

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