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The Sylvester equation is a type of linear matrix equation that has the general form: \[ AX + XB = C \] where: - \(A\) and \(B\) are given matrices of appropriate dimensions, - \(X\) is the unknown matrix to be solved for, and - \(C\) is a given matrix.

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  1. Matrices
  2. Linear algebra
  3. Algebra
  4. Fields of mathematics
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