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This course is intended for anyone with an interest in linear algebra. No prerequisites are needed.

The goal of this course is to develop your intuition about it.

All along we’ll discuss linear equations, matrices, vectors, matrix elimination, linear dependence, determinants, bases, linear transformations, eigenvalues and eigenvectors and diagonalization.

Linear algebra has numerous applications in practical areas including robotics, computer vision, chemistry, quantum physics, video games, finance, architecture, meteorology, image processing, animated movies, operational research, search engines, algorithmics, artificial intelligence, etc.

Albert Einstein on blackboard

Figure 0.1 : A. Einstein using linear algebra (tensor) (© credits: Bettmann / CORBIS)