Discussion
A 2 by 2 matrix has trace 9 and determinant 20. Its eigenvalues are
Answer: B
Building the characteristic equation from the trace and determinant directly:
\[ \lambda^{2} - 9\lambda + 20 = 0 \quad\Rightarrow\quad (\lambda-5)(\lambda-4)=0 \quad\Rightarrow\quad \lambda = 5,\; 4 \]
Checking that \( 5+4=9 \) and \( 5\times 4=20 \) confirms the roots without solving again.
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