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Linear Algebra

Systems of Linear Equations. Matrices and matrix algebra. Vectors and vector spaces. Linear Independence. Span of a set of vectors. Basis and dimension of a vector space. Linear transformations of vector spaces. Rank of a matrix and the rank theorem. Determinants and their properties. Eigenvalues and eigenvectors. Diagonalization of matrices. Inner products. Orthogonal basis. Gram-Schmidt Orthogonalization. Orthogonal projection of a vector onto a subspace.

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Universal Code: MAT0