Abstract
AbstractIn this chapter we review certain basic concepts from linear algebra. Although our treatment is self-contained, the reader is assumed to be familiar with the basic operations on matrices. After reviewing basic matrix operations and definitions, we recall concepts such as Schur complement, inverse of a partitioned matrix and Cauchy–Binet formula. Important properties of eigenvalues of symmetric matrices, including Spectral Theorem and Interlacing Theorem are reviewed. Basic notions of generalized inverses, including Moore–Penrose inverse are stated. Relevant concepts and results are given, although we omit the proofs.KeywordsMoore-Penrose InverseSchur ComplementCauchy-Binet FormulaAdditional Matrix OperationsFull Column RankThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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