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example of Cramer's rule
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(Example)
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Say we want to solve the system
The associated matrix is
whose determinant is
. Since the determinant is non-zero, we can use Cramer's rule. To obtain the value of the -th variable, we replace the -th column of the matrix above by the column vector
the determinant of the obtained matrix is divided by and the resulting value is the wanted solution.
So
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"example of Cramer's rule" is owned by drini. [ owner history (1) ]
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(view preamble)
Cross-references: solution, column vector, column, variable, Cramer's rule, determinant, matrix
This is version 4 of example of Cramer's rule, born on 2002-07-15, modified 2005-05-23.
Object id is 3169, canonical name is ExampleOfCramersRule.
Accessed 9244 times total.
Classification:
| AMS MSC: | 15A15 (Linear and multilinear algebra; matrix theory :: Determinants, permanents, other special matrix functions) |
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Pending Errata and Addenda
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