If the characteristic roots of \(\left[\begin{array}{ll}3 & 7 \\ 2 & 5\end{array}\right]\) are λ1 and λ2, then the characteristic roots of \(\left[\begin{array}{cc}5 & −7 \\ −2 & 3\end{array}\right]\) are:

1
λ1λ2 and λ2
2
λ1 + λ2 and λ1 − λ2
3
λ1 and λ2
4
1/λ1 and 1/λ2

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