MATHESIS
  • Home
  • About
  • Blog
  • E-BOOKS
  • M A T H E S I S : The Curriculum
  • Algebra
  • Functions
  • Geometry
  • Logic
  • Number theory
  • Set theory
  • Trigonometry
Select Page
Linear transformations of the plane: determinant, bases and inversion

Linear transformations of the plane: determinant, bases and inversion

by M4t_6_onL | Apr 28, 2022 | Algebra, Geometry

The linear transformations of the Euclidean plane are the invertible linear applications, i.e. of non-zero determinant. They allow us to move from one basis of the plane to another, and the orthogonal transformations, i.e. the vectorial isometries, exchange the...
The bases of the Euclidean plane: vectors and coordinates

The bases of the Euclidean plane: vectors and coordinates

by M4t_6_onL | Apr 23, 2022 | Algebra, Geometry

The representation of the Euclidean plane as the Cartesian product \(\mathbb R^2\) allows us to decompose any vector of the plane into two coordinates, its abscissa and its ordinate. This decomposition is linked to a particular and natural “representation...

Pages

  • Privacy Policy
  • About MATHESIS

Recent articles

  • The axiomatic construction of natural arithmetic
  • Russell’s paradox and the emergence of class theory
  • The natural scalar (or dot) product: a numerical combination of vectors
  • Gaussian integers: an imaginary arithmetic
  • What is a complex number? A simple geometric approach

Archives

  • July 2023
  • May 2023
  • December 2022
  • October 2022
  • August 2022
  • May 2022
  • April 2022
  • March 2022
  • January 2022
  • September 2021
  • August 2021
  • July 2021

Categories

  • Algebra
  • Functions
  • Geometry
  • Logic
  • Number theory
  • Set theory
  • Trigonometry

@ Mathesis – 2021