Advanced Linear Algebra 2: Spans & Linear Independence

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Recorded Wednesday, January 12.

A second course in linear algebra covering vector spaces and matrix decompositions taught by Dr. Anthony Bosman.

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The lectures closely follow 'Advanced Linear and Matrix Algebra' by Johnston:

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Learn more about the Andrews University math department:
  1. Math at Andrews University
  2. linear algebra
  3. matrix algebra
  4. vector space
  5. linear independance
  6. span
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Комментарии
Автор

As far as I've seen so far, this professor is a star. Love his teaching style, the topic progression, and the overall clarity. This is easily the best LA course on YT - imho it's even better than the famous MIT one ;-)

okarakoo
Автор

Just about to finish a semester of Introductory Linear Algebra, and these lectures are really good! I am understanding things better, and seeing how things are related

anuragagarwalphi
Автор

there are a hell lot of things that you explained like linear combination and span using a set B which isn't even a vector space or subspace of P, when these definition holds only to vector space, think of adding 1 and x^2, its not a part of B right, then B isn't a vector space, then its linear combination may also not be a part of it....

iitgn-wo
Автор

the concept of span and linear combination is valid only to vector spaces.

iitgn-wo
Автор

In the proof, we take the derivative of the set and determine whether c1=0, then we take the second derivative of the set and determine whether c2=0 and so on. Is it becuase taking derivative of a set is a linear transformation and any linear transformation preserves linear dependence?

QuantitativeDiaries
Автор

you defined linear combination and span on a set B which isn't even a VECTOR SPACE in itself, that's wrong!! try adding 1 and x^2, it doesn't lie inside B

iitgn-wo