in Linear Algebra edited by
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Consider the matrix $\begin{bmatrix} 5 & -1 \\ 4 & 1 \end{bmatrix}$. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix?

  1. Eigenvalue $3$ has a multiplicity of $2$, and only one independent eigenvector exists.
  2. Eigenvalue $3$ has a multiplicity of $2$, and two independent eigenvector exist.
  3. Eigenvalue $3$ has a multiplicity of $2$, and no independent eigenvector exists.
  4. Eigenvalues are $3$ and $-3$, and two independent eigenvectors exist.
in Linear Algebra edited by
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