Linear Algebra - Lecture 20 - Existence and Uniqueness Questions

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In this lecture, we will investigate the "onto" and "one-to-one" function properties, and how these apply to linear transformations.
  1. James Hamblin
  2. linear algebra
  3. linear transformation
  4. one-to-one
  5. injective
  6. onto
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Автор

Is there any possibility I can press several likes to this single video? And the rest from the playlist! What a smart man! Much respect

olzhasdossaibek
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Very Detailed and Explanatory.
Much appreciated 💯

adefisanadedotun
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9.36 oh dear, which “previous theorem”you’re referring to?I have no idea of that, not in the least mate!Would you mind to refer me to a link of that video or something else?

chenlecong
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At 4:41, why we consider the number 5 as a pivot?

benz
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so at 5:03 wouldnt that matrix be no solution since the last row is 0 0 0 5? hence one to one, or do we just go by the rows(onto) and cols(one to one) of pivots for the answer?

aleemprince
Автор

Can someone explain how the matrix A having a pivot in each row will make it so that Ax=b will have a solution for every b?

GenuinePeacefulTimes