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Gelfand begins by defining the abstract concept of a vector space over a field. He introduces linear dependence, independence, bases, and dimensions. Rather than relying on three-dimensional visual intuition, he trains the reader to think abstractly about -dimensional spaces early on. 2. Linear Transformations and Matrices gelfand lectures on linear algebra pdf
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Developing the computational tools needed to work with linear transformations [climber.uml.edu.ni/fetch.php/libweb/4050194/LecturesOnLinearAlgebraGelfandPdf.pdf]. Gelfand begins by defining the abstract concept of
An introduction to tensors, providing a glimpse into more advanced applications. Exploring the Gelfand Linear Algebra PDF and Resources