CramersRule - Cramer's Rule Derivation and Examples...

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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 A-1 A-1 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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