Span and Linear Independence Example

adrian549092 Says:

May 19, 2011 - Great video very lear you've helped me out completely, keep up the good videos...

TheLiberalSoup Says:

May 25, 2011 - man, great explanation.So many 3s, cs etc. I was about to say in my head "plus c-3po"

dauntSilver Says:

Jul 9, 2011 - Just what I was looking for.. only I use matrices instead of adding/subtracting the equations as shown.

omgthatscrazyx Says:

Jul 31, 2011 - Sal , I want to shake your hand

yoman437 Says:

Aug 13, 2011 - you are more than awesome.. love al your video...good job man, n thanks a lot.....

ste8ven Says:

Sep 6, 2011 - you missed adding a b to C3

DrunkinHulk Says:

Sep 14, 2011 - better than my teacher butr still got lost towards the end.

HabbaDj Says:

Sep 22, 2011 - You should really have used Matrices in this video... Damn that was a lot of C's :P

PhilChern Says:

Oct 12, 2011 - what's the program that he uses for the video? im kind of sick of using paint for this kind of stuff

Cracklin319 Says:

Oct 16, 2011 - Great video, It helps me a lot!

GeekBoy03 Says:

Oct 31, 2011 - it's not a "program". He is using a "pen tablet"

rocco133 Says:

Nov 23, 2011 - i think you mean smoothdraw3.

mfh69 Says:

Dec 1, 2011 - better than any teacher at my uni:-)

ja2smart92 Says:

Dec 5, 2011 - I always like to imagine that its Obama teaching me this b/c he kinda sounds like him, especially when he says 'independent'

Savl0r0 Says:

Feb 16, 2012 - Thank you soo much , it really helps

nowjustthinkaboutit Says:

Feb 20, 2012 - wow. thanks so much! Hugs and kisses

r5t6ymax Says:

Mar 17, 2012 - I dont understand how you would get a non linearly independent set pf vectors....like obviously if you multiply everything by 0 its gonna give the 0 vector, thats obvious from the the start....

barakelhowells Says:

Apr 17, 2012 - Everyone uses matrices. This is like the maths behind the operations. It's perfect this way... trust me.

SuPahPetaa Says:

Apr 23, 2012 - you can also prove that the C's exist for abc by determining if the determinant of the C's are not equal to zero. if it is, then it does not span R3

rzink92 Says:

May 15, 2012 - when you set up the vectors and solve the matrice, you should get the identity matrix which has no rows of zeros. for example ->1 3 4 ------------->1 0 02 3 5 -> RRE -> 0 1 03 2 1 -----------> 0 0 1that would say the vectors are linearly independenta row of zeros tells you they are linearly dependent