Functions > Vector and Matrix > Array Characteristics > Example: Finding the Left and Right Eigenvectors
  
Example: Finding the Left and Right Eigenvectors
To avoid logical mismatches when performing boolean comparisons, enable Approximate Equality in the Calculation Options drop-down list.
1. Define a square real matrix.
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2. Use the basic definition of eigenval to find the lambdas of matrix A.
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3. Alternatively, use function eigenvals to find the lambdas of matrix A.
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Finding the Right eigenvectors
1. Use function eigenvecs to find the right (default) eigenvectors of matrix A.
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2. Show that the relationship A x Rn = λn x Rn is true.
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The relationships are true.
Finding the Left eigenvectors
1. Use function eigenvecs to find the left eigenvectors of matrix A.
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2. Show that the relationship LnT x A = λn x LnT is true.
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The relationship is true.