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Linear independence and decompostion 
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#1
Oct411, 06:10 PM

P: 96

Explain why the method of decomposition when applied to the solution set of a homogeneous linear system always yields a linearly independent set of vectors whose span is the set of solutions....
Can someone explain this it seems reasonable but I can't seem to prove it to myself 


#2
Oct511, 01:24 PM

P: 96

Maybe dependent spans do not exist because if that were to be the case the dependence would work itself out in the rref as a definite solution removing the dependence. So only independent spans form....
???? 


#3
Oct611, 12:59 AM

P: 662

Maybe if you explain to us what the method is, we can help you better, and, in doing the explaining, you may understand things better yourself.



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