a question about rank of matrix

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losheungwai

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

?
 

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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