CraigsMaths

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Archive for the ‘Simultaneous equations’ Category

Cramer’s Rule

Wednesday, July 30th, 2008

Given a system of simultaneous equations in matrix form

Simultaneous equations in matrix form

Where is an invertable n x n square matrix, is a variables column matrix containing and is a constants matrix containing .

Then can be found with Cramer’s rule,

Cramers rule

Cramer's rule

Where is formed by replacing the ith column of with .