Ch6Pr56: Extending a Basis

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How to find a basis from a set of vectors, and then extend that basis to a larger space. This is MATH1231/1241 Chapter 6 Problem 56, presented by A/Prof. Daniel Chan from the UNSW School of Mathematics and Statistics.
  1. MathsStatsUNSW
  2. Mathematics
  3. UNSW
  4. Linear Algebra (Field Of Study)
  5. Basis
  6. Vector
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Комментарии
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Really appreciate. I spent like an hour to watch my prof's video over and over again and couldn't even figure out what shes saying. Then I watched this video, only took few minute to understand it (even before the operation part).

God bless you, and bless me...don't know how I am gonna go through this course with a prof who can't even explain this clearly.

nobodynameless
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Genuis! It takes a little bit long, but it has really helped me, thanks!

sarapis
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why would you take the fourth vector from the right side matrix instead of just adding a trivial [0, 0, 0, 1] vector?

danmartin
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since we are "saying" column space more intuitive to transpose then use Gauss elimination ("row" operations) that way final result is slightly easier to interpret I think .... also NOT using row interchange ....

dasguptaarup
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Thank you so much, my lecturer doesn't even state that you can use gaussian elimination for this...

the_unorthodox_devil
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thank you sir . what a nice way to get li basis

jatinkumargupta