scratsearcher 🔍🔮📊🎲

Lemmy & Fediverse enjoyer 🗿🍷

Unless otherwise noted my posts are under CC0-license

Hierarchy of Power

BasementMe

  • 34 Posts
  • 241 Comments
Joined 4 months ago
cake
Cake day: November 7th, 2024

help-circle






  • yeah once we have a non-invertible base we can construct many more magic squares using construction principles … Some of these for uneven size are outlined in mathloggers youtube videos …

    • if we swap rows or columns inside a Matrix the absolute value of its determinant will not change, it will stay invertible/non singular using these operations … and it will also stay a magic square …

    For example the following will lead to a magic square, if we start from a non singular magic square we will end with one:

    1. swap row 1 and 2
    2. swap column 1 and 2.

    By doing this we transform …

    ABC
    DEF
    GHI
    

    into

    EDF
    BAC
    HGI
    

    Due to commutativity of addition operation these row/col swaps also dont change the inversibility of the matrix and result in a “new” magic square.