3. Let M be a \( 2 \times 2 \) matrix with \( \text{tr}(M)=\sqrt{3} \) and \( \text{det}(M)=-2 \). Let \( \alpha_1 \) and \( \alpha_2 \) be eigenvalues of M. What is \( |\alpha_1-\alpha_2| \) ? (12%)
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3. Let M be a \( 2 \times 2 \) matrix with \( \text{tr}(M)=\sqrt{3} \) and \( \text{det}(M)=-2 \). Let \( \alpha_1 \) and \( \alpha_2 \) be eigenvalues of M. What is \( |\alpha_1-\alpha_2| \) ? (12%)