Abstract
In order to establish notation, we begin by describing the most general system of simultaneous linear equations. Explanations and many examples come immediately afterward. Let m and n be positive integers, and let us consider the following system of m equations in n variables x1, x2 . . . , xn:
The coefficients a11, a12, and so on, are distinguished by double subscripts, the first giving the equation number, and the second indicating the variable being multiplied. We shall refer to b1, . . . , bm as the constants of system (1). All coefficients and constants are assumed to be real numbers, as are the values sought for the variables x1, . . . , xn.
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© 1989 Springer-Verlag New York Inc.
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Brickman, L. (1989). Simultaneous Linear Equations. In: Mathematical Introduction to Linear Programming and Game Theory. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4540-7_1
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DOI: https://doi.org/10.1007/978-1-4612-4540-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8869-5
Online ISBN: 978-1-4612-4540-7
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