Abstract
Prerequisite matrix theory. Prerequisite vector theory. Linear transformations and characteristic roots. Geometric interpretations. Algebra of vector spaces. Generalized inverse. Conditional inverse. Systems of linear equations. Patterned matrices and certain other special matrices. Trace of a matrix, vector of a matrix, commutation matrices. Integration and differentiation. Positive matrices and matrices with non-positive off-diagonal elements. Non-negative matrices, idempotent and tripotent matrices, projections.
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