Introduction to Linear Algebra

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  2012-12-02
  You may think that projection onto the whole space is not worth mentioning.
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  2012-12-01
  Then ATA, with this same nullspace, is invertible.
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  2012-12-01
  recursive least squares
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  2012-11-30
  The pivot columns of A are a basis for its column space...
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  2012-11-30
  This V is the nullspace of any m by 3 matrix B of rank 1, if every row is a multipleof (0, 0,1).
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  2012-11-29
  My choice for Xp would be (1,0).
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  2012-11-29
  The square matrix AT A is invertible when the rank is n
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  2012-11-28
  The column space C (U) consists ofall vectors of the form (b I , b2 , b3 , 0).
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  2012-11-27
  A triangular matrix is invertible if and only if no diagonal entries are zero.
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  2012-11-27
  Suppose there is a nonzero vector x such that Ax = 0
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  2012-11-27
  To solve A x = b without A-I, we deal with one column b to find one column x.
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  2012-11-26
  Schur complement.
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  2012-11-26
  When E multiplies on the right, it acts on the columns of A.
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  2012-11-25
  Let me connect these special matrices A and S to calculus. The vectorx changes to a function x(t). The differences Ax become the derivative dx/ dt = bet). Inthe inverse direction, the sum Sb becomes the integral of bet).
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  2012-11-25
  we needed to open linear algebra to the world