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Linear Combinations and Span

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Uploaded by on Oct 8, 2009

Understanding linear combinations and spans of vectors

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  • Dear Khan Academy, you are amazing.

  • The one dislike came from a guy who found this Video a minute before his exam.

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  • Good, I like that you share this video Understanding linear combinations and spans of vectors, I wish success always

  • Nice Video Understanding linear combinations and spans of vectors That You Share , So Very Nice Thanks You

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  • @LostAngel01234 First of all, you'll need at least 3 diffrent vectors (call them v_1, v_2 and v_3). Each with dimension 3, so they'll look like (x,y,z). Second, it must be impossible to write one of these vectors as a linear combination of the other 2 vectors. I.e. : c_1 v_1 + c_2 v_2 + c_3 v_3 = (0,0,0) only if c_1 = c_2 = c_3 = 0, the three vectors span R3. If there's another solution for the c_i's, it means the vectors span up a plane or a straight line in R3, but not whole R3.

  • What about in R3 (3 Space) how can you tell if they span R3 or not??

  • @Dinonu prbly accidents

  • @bloodyjack111 He uses a bamboo writing tablet. It's a neat device, I have one too.

  • 2:02 ... ummmm Sal, what did you just draw?!!! LOL hahaha

  • @khanacademy how do you write so neatly with your mouse

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