Elements of Numerical Mathematical Economics with Excel

3.2. Linear systems and resolution methods in Excel: Cramer, Solver, Inverse

A nonhomogenous linear system in m equations, m constant terms, and n unknown x variables is defined as:

{\begin{matrix} a_{11} x_{1} + a_{12} x_{2} + \dots + a_{1 j} x_{j} + \dots + a_{1 n} x_{n} = b_{1} \\ a_{21} x_{1} + a_{22} x_{2} + \dots + a_{2 j} x_{j} + \dots + a_{2 n} x_{n} = b_{2} \\ \dots \\ a_{i 1} x_{1} + a_{i 2} x_{2} + \dots + a_{i j} x_{j} + \dots + a_{i n} x_{n} = b_{i} \\ \dots \\ a_{m 1} x_{1} + a_{m 2} x_{2} + \dots + a_{m j} x_{j} + \dots + a_{m n} x_{n} = b_{m} \end{matrix}

(3.2-1)

The elements a _ij are called coefficients of the system and ...

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