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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.
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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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Did you watch the video posted on this topic by MIT open courseware

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The professor clearly explains this topic, and also moves to n dimension

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you happen to remember which lecture? Coz, he doesn't explain it in the first one which I'm watching..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think its in the most introductory one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hmm.. lemme give a go at the rest too then... thanks!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You 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
 5 years ago
Best ResponseYou've already chosen the best response.0Finally, got it... understood it graphically. Its beautiful! Thanks for your hints.
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