| # Vectors and Matrices Vectors are collections of numbers arranged in a column or a row. We review basic notion such as independence, span, subspaces, and dimension. Via the scalar product, we can establish a one-to-one correspondence between vectors and linear functions. Matrices are collections of vectors of same size. Again, via the matrix-vector product, we can interpret them as linear maps (vector-valued functions). Outline Vectors Scalar products and norms Matrices Linear functions and maps Applications