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2
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5
Answer is Wrong!
Answer is Right!
The correct answer is $\boxed{\text{A}}$.
The eigenvalues of a matrix are the roots of its characteristic polynomial. The characteristic polynomial of a 2×2 matrix can be written as:
$$p(x) = |A – xI|$$
where $A$ is the matrix and $I$ is the identity matrix.
In this case, we have:
$$p(x) = | \begin{array}{cc} 4 & 2 \ 1 & 3 \end{array} – x \begin{array}{cc} 1 & 0 \ 0 & 1 \end{array} | = x^2 – 7x + 10$$
The eigenvalues of $A$ are the roots of $p(x)$, which
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