Eigenvectors and Eigenvalues

  • Rami Shakarchi


Let a ∈ and a ≠0. Prove that the eigenvectors of the matrix
$$ \left( {\begin{array}{*{20}c} 1 & a \\ 0 & 1 \\ \end{array} } \right) $$
generate a 1-dimensional space, and give a basis for this space.


Characteristic Polynomial Orthogonal Basis Symmetric Operator Distinct Eigenvalue Spectral Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Rami Shakarchi
    • 1
  1. 1.New HavenUSA

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