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a question about rank of matrix

 
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losheungwai



Joined: 14 Sep 2008
Posts: 7


Post07 Oct 2008 9:31   a question about rank of matrix

how do u find the rank of
(1 3 1 1)
(2 3 2 2)
(0 3 0 0)

?
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Kral



Joined: 28 Mar 2005
Posts: 1014
Helped: 165


Post07 Oct 2008 22:57   Re: a question about rank of matrix

losheungwai,
Multily 1st row X 2 yielding
2622
2322
0300
Replace 2nd row by the (1st row - 2nd row) yielding
2622
0300
0300
Replace 3rd row by (2nd row - 3rd row) yielding
2622
0300
0000
There are 2 linearly independent rows. Therefore the rank is 2.
Regards,
Kral
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