Cramer's rule gives the solution as follows x = D x / D , y = D y / D and z = D z / D where D, D x, D y and D z are determinants defined by Example: Use Cramer's rule for a 3 by 3 system of linear equations to solve the following system 2 x - y + 3 z = - 3 - x - y + 3 z = - 6 x - 2y - z = - 2 Solution:
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