MATRICES AND DETERMINANTSHigher Concepts of MathematicsThe equations can be rewritten in matrix form as follows:a be fxycgTo solve for each variable, the matrix containing the constants (c,g) is substituted in place of thecolumn containing the coefficients of the variable that we want to solve for (a,e or b,f ). Thisnew matrix is divided by the original coefficient matrix. This process is call "Cramer’s Rule."Example:In the above problem to solve for x,c bg fx =c bg fand to solve for y,a ce gy =a be fExample:Solve the following two equations:x + 2y = 4-x + 3y = 1MA-05 Page 26 Rev. 0
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