ECON 1540 Lecture : 1540linearsystem.pdf

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Linear algebra is useful for working with large systems of equations. We give it the name (1)" to identify it easily. 1, 2, , n. note that aij denotes the coe cient in equation i of the variable xj. There are m equations and (since there are n variables) each equation has n coe cients. Therefore the total number of coe cients is mxn: the right-hand sides of the system are the bi terms, i = 1, 2, , m. these are also known as the constant terms of the system. If the system has at least one solution then it is called consistent.

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