Advanced Microeconomics/Linear Algebra

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Cramer's Rule[edit]

For a three by three system:


In matrix form:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle y = \frac{\begin{vmatrix}a&j&c\\d&k&f\\g&l&i\end{vmatrix}}{\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}} }

In general:
Where is formed by replacing the vector associated with by the column vector b.