anonymous
  • anonymous
How can the linear combination of two non singular and linearly independent vectors encompass the whole of 2D euclidean space? I can't seem to intuitively understand this concept hammered by Prof. Strang in the MIT OCW. Is there any simple intuitive way or rigorous math way to understand this? Any input would be fine. Thanks! John.
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Did you watch the video posted on this topic by MIT open courseware
anonymous
  • anonymous
The professor clearly explains this topic, and also moves to n dimension
anonymous
  • anonymous
Do you happen to remember which lecture? Coz, he doesn't explain it in the first one which I'm watching..

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anonymous
  • anonymous
I think its in the most introductory one
anonymous
  • anonymous
I may be wrong
anonymous
  • anonymous
hmm.. lemme give a go at the rest too then... thanks!
anonymous
  • anonymous
You can think on it like this (I don't want to tell you more than this, since it will spoil the real fun of it), it represents any point on the 2 d plane. Think on it...
anonymous
  • anonymous
Finally, got it... understood it graphically. Its beautiful! Thanks for your hints.

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