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Since we're aiming at data-driven applications, we'll be implementing some of these ideas in code, not just on pencil and paper.

Finally we look at how to use these to do fun things with datasets - like how to rotate images of faces and how to extract eigenvectors to look at how the Pagerank algorithm works. Then we look through what vectors and matrices are and how to work with them, including the knotty problem of eigenvalues and eigenvectors, and how to use these to solve problems.

In this course on Linear Algebra we look at what linear algebra is and how it relates to vectors and matrices.