Abstract
The vector space of the m × n matrices over R is studied. The row-reduction operations link matrices and systems of linear equations. The concept of rank of a matrix is fundamental for examining and solving systems of linear equations. On this subject, Rouché-Capelli’s theorem on the compatibility of a system of linear equations represents an important result from a theoretical and applicative point of view.
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Ventre, A.G.S. (2023). Matrices. In: Calculus and Linear Algebra. Springer, Cham. https://doi.org/10.1007/978-3-031-20549-1_13
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DOI: https://doi.org/10.1007/978-3-031-20549-1_13
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