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anonymous

  • 5 years ago

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.

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  1. anonymous
    • 5 years ago
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    Did you watch the video posted on this topic by MIT open courseware

  2. anonymous
    • 5 years ago
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    The professor clearly explains this topic, and also moves to n dimension

  3. anonymous
    • 5 years ago
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    Do you happen to remember which lecture? Coz, he doesn't explain it in the first one which I'm watching..

  4. anonymous
    • 5 years ago
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    I think its in the most introductory one

  5. anonymous
    • 5 years ago
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    I may be wrong

  6. anonymous
    • 5 years ago
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    hmm.. lemme give a go at the rest too then... thanks!

  7. anonymous
    • 5 years ago
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    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...

  8. anonymous
    • 5 years ago
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    Finally, got it... understood it graphically. Its beautiful! Thanks for your hints.

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spraguer (Moderator)
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