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Primary Decomposition Theorem Example

Primary Decomposition Theorem Example

Jul 31, 20251 min read

math
linalg

Example

Soln

We get: $W_{1}$ with:

minimal polynomial $(x - 3)$
$d im (W_{1}) = 1 * 2 = 2$ $W_{2}$ with:
minimal polynomial $(x^{2} + 1)$
$d im (W_{2}) = 2 * 2 = 4$ $W_{3}$ with:
minimal polynomial $(x - 1)$
$d im (W_{2}) = 1 * 1 = 1$

Graph View

Example
Soln

Backlinks

Primary Decomposition Theorem

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