Linear Algebra 1


Higher education institutions are encouraged to offer this course to their students. Further details can be found in a concise video presentation.

That course of linear algebra will provide a comprehensive introduction to the highly beneficial subject of linear algebra. It involves a detailed exploration of linear algebra in the Euclidean plane. Upon completion of the course, you will have the capability to execute the subsequent mathematical operations.

  • Solve systems of two linear equations with two variables.
  • Utilise, graph, and manipulate vectors in the plane.
  • Compute and apply dot products and norms of vectors in the Euclidean plane.
  • Define and manipulate angles, along with their trigonometric functions.
  • Determine and utilize polar coordinates of a nonzero vector.
  • Work with and manipulate complex numbers, visualizing their vector representations.
  • Perform calculations involving matrices of linear transformations.
  • Identify bases in the plane and compute transition matrices for changing bases.
  • Compute eigenvalues and eigenvectors of a matrix, utilising them for matrix diagonalisation.
  • Lastly, diagonalise matrices in ℂ that have no real eigenvalues.

All of these concepts will be taught from a practical perspective, incorporating graphics and Python sessions and scripts.

A preliminary course of Python is provided to help students follow the course of linear algebra.


Fabienne Chaplais from Mathedu

Hi, I'm Fabienne Chaplais from Mathedu


I hold the 'Agrégation de Mathématiques', the highest French degree to teach math up to the undergraduate level.

During 26 years, I was an R&D engineer in the space, defence and railway industries.

With my husband François, we created Mathedu to teach mathematics from a practical point of view, based on Python programming sessions and scripts.

I am an enthusiastic teacher, loving sharing my passion of mathematics.














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