What is Cramer's Rule 2x2?įirst, write the given system of 2x2 equations as AX = B, where X is a column matrix of the variables x and y. ![]() This rule is very helpful in finding any variable right away without needing of finding any other variables. Who Invented Cramer's Rule of Matrices?Ĭramer's rule for matrices is invented by a mathematician called Gabriel Cramer in 1750. What is Cramer's Rule Definition?Ĭramer's rule says the solution of the system of equations written in the matrix form AX = B (where A is the matrix of coefficients, X is the column matrix of variables, and B is the column matrix of coefficients) is obtained by dividing det (A) by the same determinant where the respective columns are replaced by the matrix B. It is also used to find whether the system has a unique solution, no solution, or an infinite number of solutions.
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