Fundamental Rank Theorem

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In this video, I state and prove the Fundamental Rank Theorem, one of the cornerstones of the theory of linear equations. This theorem says that any matrix can be row and column reduced to a matrix with only 1's and 0's on the diagonal, where the number of 1's is equal to the rank of the matrix. In future videos (on this playlist), I'll discuss some applications of this theorem.

  1. Dr Peyam
  2. math
  3. mathematics
  4. peyam
  5. dr peyam
  6. bprp
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Комментарии
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Big fan of yours, from india#mathsbeetle

Matchless_gift
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We are both mathematicians and lefties.... I'm very impressed. Well done

sammykmfmaths
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Great proof and examples!!! But, I wonder if you could give a more rigorous proof next time for us to review as the way you did in class such that we know what we are expected to write on our exams. Anyhow, your video gave a clear idea and direction on how to prove the theorem :) Love it.

haohanliu
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Sir, can you talk about
" Why matrix is needed in Mathematics" in a separate video, please? I want to know about it.

IshaaqNewton
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is it really important to transform the matrix A to a particular matrix D? in my class, it only need to use row reduction and change it into reduced row echelon

rizkyagungshahputra