Provides students with comprehensive coverage of the subject. Topics: vectors and matrices, operations with vectors and matrices, solving systems of linear equations, inverse matrix, LU decomposition, vector spaces and subspaces, independence, bases and dimension, affine spaces, orthogonality, projections, least squares approximation, orthonormal bases, determinants, eigenvalues and eigenvectors, diagonalization, symmetric matrices, positive definite matrices, Cholesky factorization, singular value decomposition, linear transformations.
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