6 Matching Annotations
  1. Dec 2023
  2. math.libretexts.org math.libretexts.org
    3.10: 3. 10- Solution of the Least-Squares Problem
    1
    1. RainVaporeon 17 Dec 2023
      overdetermined

      https://en.wikipedia.org/wiki/Overdetermined_system

      More equations than unknowns, that is, for x, y, z, there are more than 3 equations given in the system.

      Usually, this sort of system is inconsistent and have no solutions, with few exceptions.

    Visit annotations in context

    Annotators

    URL

    math.libretexts.org/Bookshelves/Differential_Equations/Applied_Linear_Algebra_and_Differential_Equations_(Chasnov)/02:_II._Linear_Algebra/03:_Vector_Spaces/3.10:_3._10-_Solution_of_the_Least-Squares_Problem
  3. math.libretexts.org math.libretexts.org
    3.5: Vector Spaces of a Matrix
    1
    1. RainVaporeon 15 Dec 2023
      row reduced echelon form

      https://en.wikipedia.org/wiki/Row_echelon_form

    Visit annotations in context

    Annotators

    URL

    math.libretexts.org/Bookshelves/Differential_Equations/Applied_Linear_Algebra_and_Differential_Equations_(Chasnov)/02:_II._Linear_Algebra/03:_Vector_Spaces/3.05:_Vector_Spaces_of_a_Matrix
  4. math.libretexts.org math.libretexts.org
    3.4: Inner Product Spaces
    2
    1. RainVaporeon 14 Dec 2023
      Hermite

      https://en.wikipedia.org/wiki/Hermite_polynomials Physicist variant

    2. RainVaporeon 14 Dec 2023
      Legendre

      https://en.wikipedia.org/wiki/Legendre_polynomials

    Visit annotations in context

    Annotators

    URL

    math.libretexts.org/Bookshelves/Differential_Equations/Applied_Linear_Algebra_and_Differential_Equations_(Chasnov)/02:_II._Linear_Algebra/03:_Vector_Spaces/3.04:_Inner_Product_Spaces
  5. math.libretexts.org math.libretexts.org
    3.1: Vector Spaces
    2
    1. RainVaporeon 13 Dec 2023
      Example 3.1.2

      Derive 3 times and resulting to zero has to be any polynomial with the highest power being 2, therefore any collection that has a power of less than 2 will do the job. Therefore vector space P2 is correct.

    2. RainVaporeon 13 Dec 2023
      polynmials

      polynomials*

    Visit annotations in context

    Annotators

    URL

    math.libretexts.org/Bookshelves/Differential_Equations/Applied_Linear_Algebra_and_Differential_Equations_(Chasnov)/02:_II._Linear_Algebra/03:_Vector_Spaces/3.01:_Vector_Spaces