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Determinants, and Linear Independence

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Matrix Operations for Engineers and Scientists
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Abstract

Determinants can be defined and studied independently of matrices, though when square matrices occur they play a fundamental role in the study of linear systems of algebraic equations, in the formal definition of an inverse matrix, and in the study of the eigenvalues of a matrix. So, in anticipation of what is to follow in later chapters, and before developing the properties of determinants in general, we will introduce and motivate their study by examining the solution a very simple system of equations.

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Jeffrey, A. (2010). Determinants, and Linear Independence. In: Matrix Operations for Engineers and Scientists. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9274-8_2

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