Beispiel: Linken und rechten Eigenvektor ermitteln

Funktionen > Vektor und Matrix > Array-Eigenschaften > Beispiel: Linken und rechten Eigenvektor ermitteln

Um logische Konflikte zu vermeiden, wenn Sie boolesche Vergleiche ausführen, aktivieren Sie Annähernde Gleichheit in der Dropdown-Liste Berechnungsoptionen.

1. Definieren Sie eine reelle, quadratische Matrix.

2. Verwenden Sie die grundlegende Definition von eigenval, um die Lambdas der Matrix A zu suchen.

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          <minus />
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              <plus />
              <id labels="VARIABLE" xml:space="preserve">λ</id>
              <real>3</real>
            </apply>
          </parens>
        </apply>
      </symResult>
    </symEval>
    <formattingOverride BackgroundColor="#00FFFFFF" />
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3. Alternativ können Sie die Funktion eigenvals verwenden, um die Lambdas der Matrix A zu ermitteln.

Die rechten Eigenvektoren suchen

1. Verwenden Sie die Funktion eigenvecs, um die rechten (Standard-)Eigenvektoren der Matrix A zu ermitteln.

2. Überprüfen Sie die Abweichung zwischen A x Rn und λn x Rn.

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Die Abweichung ist Null.

Die linken Eigenvektoren suchen

1. Verwenden Sie die Funktion eigenvecs, um die linken Eigenvektoren der Matrix A zu suchen.

2. Überprüfen Sie die Abweichung zwischen LnT x A und λn x LnT.

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Die Abweichung ist Null.

Zugehörige Themen

Eigenvektoren und Eigenwerte

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