线性代数 A

To introduce the basic concepts in linear algebra including systems of linear equations, matrix algebra, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, singular value decomposition and quadratic forms. It is a prerequisite for Linear Algebra II. The emphasis is on operations with matrices, solving systems of linear equations, fundamental theory of vector spaces and linear transformations, solving eigenvalues and eigenvectors problems, and quadratic forms.