Re: Linear dependence dse 2011

Posted by Chinni18 on Jun 21, 2012; 2:45am
URL: http://discussion-forum.276.s1.nabble.com/Linear-dependence-dse-2011-tp7578399p7578400.html

Hey aditi, consider this:
2x+3y= 8
x+5y=11
The very fact that x and y are able to solve this set of equations implies that the vectors [2,1], [3,5] and [8,11] are linearly dependent. Because a linear combination of the first two gives you the third one.
On the other hand, if the questions asks only about {a1,a2,a3,..,an} and not {a1,a2,a3,..,an,b}, then in that case your answer should be a, ie linearly independent.