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Mathematics

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Algebra

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Algebra - Other

Fundamental Theorem of Algebra

Created on Apr 03, 2023 · Last Modified on Jun 09, 2023

Fundamental Theorem of Algebra
  • A theorem of equations proved by Carl Friedrich Gauss in 1799
  • It states that every polynomial equation of degree 𝑛 with complex number coefficients has 𝑛 roots, or solutions, in the complex numbers. The roots can have a multiplicity greater than zero

Use Cases

  • Every n×n matrix has exactly n complex eigenvalues, counted with multiplicity