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单词 ExampleOfSmithNormalForm
释义

example of Smith normal form


As an example, we will find the Smith normal formMathworldPlanetmath of the following matrix over the integers.

(244-661210-4-16)

The following matrices are the intermediate steps as the algorithmMathworldPlanetmath is applied to the above matrix.

(200-6182410-24-36)(200018240-24-36)
(200018240-6-12)(200061201824)
(200061200-12)(2000600012)

So the Smith normal form is

(2000600012)

and the elementary divisors are 2, 6 and 12.

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更新时间:2025/5/4 21:11:13