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Systems of Three Equations

Terms

Introduction and Summary

Solving by Addition and Subtraction

Determinant  -  Of a 2×2 matrix:

A =    



detA = a 1 b 2 - a 2 b 1 .
Of a 3×3 matrix:

A =    


detA = (a 1 b 2 c 3 + b 1 c 2 a 3 + c 1 a 2 b 3) - (a 3 b 2 c 1 + b 3 c 2 a 1 + c 3 a 2 b 1)
Cramer's Rule  -  Cramer's Rule states that:
x =
y =
z =
where D is the 3×3 coefficient matrix, and D x , D y , and D z are each the result of substituting the constant column for one of the coefficient columns in D .

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