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Unformatted text preview: Cramer's Rule  Derivation and Examples
Derivation of Cramer's Rule Given a system of equations: Dr. Shoane In matrix form: This can be written in the general form To solve for x, we multiply both sides of the equation by A1 A1 can be computed by dividing the transpose of the cofactor of A by its determinant x then becomes In above, each row of the numerator can be written as the determinant of a 2x2 matrix. It follows that Example 1 Solution: Example 2 Solution: Recall taking the determinant of a 3x3 matrix: Similarly ...
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 Fall '08
 Madabhushi

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