1 Vectors and Vector Spaces
1.1 Complex Numbers and Vectors
1.1.1 Polar Form of Complex Numbers
1.2 Vectors
1.3 Vector Spaces
1.3.1 Basis of a Vector Space
1.4 Subspaces of a Vector Space
2 Matrix Algebra
2.1 Basic Definitions
2.2 Basic Operations
2.3 Rank and Inverse of a Matrix
2.3.1 Matrix Inversion
2.4 Hermite Forms and Rank Factorization
2.4.1 Rank Factorization
2.5 Trace and Determinants
2.6 Computation of the Inverse
2.7 Partitioned Matrices
2.8 Kronecker Products of Matrices..
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