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 October 9th, 2009, 07:49 PM #1 Newbie   Joined: Oct 2009 Posts: 5 Thanks: 0 Linearly independent question State, with reasons, whether or not these sets of vectors are linearly independent.? T = {(3, 5, 7), (4, 6, 8 ), (5, 7, 9)} U = {(2, 0, 2), (7, 8, 1), (8, 0, 8 )}
 October 10th, 2009, 12:22 AM #2 Senior Member   Joined: Oct 2007 From: Chicago Posts: 1,701 Thanks: 3 Re: Linearly independent question How do you show that vectors are linearly independent?
 October 10th, 2009, 02:59 AM #3 Senior Member   Joined: Feb 2009 Posts: 172 Thanks: 5 Re: Linearly independent question A way to do it is calculate det$A$ and det$B$ where $A=$\begin{array}{ccc}3 &4=&5\\ 5=&6=&7\\ 7=&8=&9\end{array}$=$ and $B=$\begin{array}{ccc}2 &7=&8\\ 0=&8=&0\\ 2=&1=&8\end{array}$=$. If the determinant is 0 then the vector are not linear independent if it is not 0 then they are.
 November 6th, 2009, 02:38 PM #4 Newbie   Joined: Nov 2009 Posts: 2 Thanks: 0 Re: Linearly independent question y=-10x=5 help

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