in Linear Algebra recategorized by
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1 vote
1 vote

Let
\[
A=\left(\begin{array}{ccc}
1 & 1+\varepsilon & 1 \\
1+\varepsilon & 1 & 1+\varepsilon \\
1 & 1+\varepsilon & 1
\end{array}\right)
\]
Then for $\varepsilon=10^{-6}, A$ has

  1. only negative eigenvalues
  2. only non-zero eigenvalues
  3. only positive eigenvalues
  4. one negative and one positive eigenvalue
  5. None of the above
in Linear Algebra recategorized by
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