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Let $a, b, c, d$ be distinct non-zero real numbers with $a+b=c+d$. Then an eigenvalue of the matrix $\left[\begin{array}{ccc}a & b & 1 \\ c & d & 1 \\ 1 & -1 & 0\end{array}\right]$ is

  1. $a+c$
  2. $a+b$
  3. $a-b$
  4. $b-d$

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