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This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. 

This textbook set emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the two books. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. The second volume builds on the introductory foundations laid in the first.

Linear and Matrix Algebra presents a unified pathway from introductory to advanced...