CompanionMatrix
Disponible
The companion matrix of a monic polynomial, given by its coefficient vector
CompanionMatrix[cvec]
CompanionMatrix[poly, x]
CompanionMatrix[…, dir]
CompanionMatrix[{5, 2, 3, 1}]
→ {{0, 0, 0, -5}, {1, 0, 0, -2}, {0, 1, 0, -3}, {0, 0, 1, -1}}CompanionMatrix[5 + 2*x + 3*x^2 + x^3, x]
→ {{0, 0, -5}, {1, 0, -2}, {0, 1, -3}}CompanionMatrix[2*x^2 + 3*x + 1, x]
→ {{0, -1/2}, {1, -3/2}}CharacteristicPolynomial[CompanionMatrix[{2, 3, 1}], x]
→ -2 - 3*x - x^2 - x^3CompanionMatrix[{2, 4, 6}, Bottom]
→ {{0, 1, 0}, {0, 0, 1}, {-2, -4, -6}}CompanionMatrix[{2, 4, 6}, Left]
→ {{-6, 1, 0}, {-4, 0, 1}, {-2, 0, 0}}CompanionMatrix[x^3 + 2*x^2 + 3*x + 4, x, Top]
→ {{-2, -3, -4}, {1, 0, 0}, {0, 1, 0}}CompanionMatrix[{5, 2, 3, 1}, foo]
→
CompanionMatrix::plspecc: Specification foo for placement of coefficients must be Top, Bottom, Left or Right.
CompanionMatrix[{5, 2, 3, 1}, foo]CompanionMatrix[Sin[x], x]
→
CompanionMatrix::clorpoly: Argument Sin[x] is neither a non-empty list of coefficients nor an explicit polynomial in a given variable.
CompanionMatrix[Sin[x], x]- TargetStructure — default Automatic
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