characteristic polynomial oor Portugees
characteristic polynomial
en
(linear algebra) The determinant, of a matrix minus an indeterminant times the identity matrix
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polinómio característico
en
linear algebra
polinômio característico
en
linear algebra
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In the present case, the characteristic polynomial is s2 + 8s + K.
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The roots of the characteristic polynomial of A are complex numbers, some of which may be real.
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Since the characteristic polynomial has degree n, the sum of all the algebraic multiplicities must equal n.
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The algebraic multiplicities sum up to n, the degree of the characteristic polynomial.
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(We list the eigenvalue 2 twice to emphasize that it is a double root of the characteristic polynomial.)
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(c) Show that the characteristic polynomial for the system is the product of the polynomials for two oscillators.
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Characteristic equation The equation formed by setting the characteristic polynomial to zero.
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Characteristic polynomial The denominator of a transfer function.
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Does this mean that the denominator of H(s) is the characteristic polynomial of the system?
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It is also the only graph with this characteristic polynomial, making it a graph determined by its spectrum.
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We have thus seen that the characteristic polynomial is, as mathematicians say, an invariant for similarity.
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The characteristic polynomial of the Higman–Sims graph is (x − 22)(x − 2)77(x + 8)22.
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Similar matrices have the same characteristic polynomial and therefore the same eigenvalues.
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Any monic polynomial is the characteristic polynomial of its companion matrix.
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The characteristic polynomial for the observer is to be s3 600s2 40;000s 1;500;000
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For this reason the polynomial Q(λ) is called the characteristic polynomial of the system.
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If these are all positive, then all the roots of the characteristic polynomial are in the LHP.
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In contrast, the characteristic polynomial Q(s) is an internal description.
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Prove: If A is a square matrix, then A and have the same characteristic polynomial. 5.
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This permits us to speak of the characteristic polynomial of φ.
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The Routh–Hurwitz result assumes that the characteristic polynomial coefficients are known precisely.
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In this chapter, you will focus on the real roots of characteristic polynomials—that is, real eigenvalues.
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Prove that a square matrix A and its transpose At have the same characteristic polynomial. 11.
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The eigenvalues of L are the roots of its characteristic polynomial.
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Does this mean that the denominator of H [z] is the characteristic polynomial of the system?
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