The eigenvalues of a 2x2 matrix are found by solving:

A The inverse

B det(A − λI) = 0, the characteristic equation

C A × A

D The transpose

✓ Correct Answer: Option B

Eigenvalues: det(A − λI) = 0 yields the characteristic polynomial. Roots are eigenvalues λ.

💡 Why is B) the correct answer?

The correct answer to the question "The eigenvalues of a 2x2 matrix are found by solving:" is Option B: det(A − λI) = 0, the characteristic equation.

The other options — A) The inverse, C) A × A, D) The transpose — are incorrect for this FE Exam Prep question. As explained above: Eigenvalues: det(A − λI) = 0 yields the characteristic polynomial. Roots are eigenvalues λ.

📚 About This FE Exam Prep Practice Question

This 3-level FE Exam Prep question from the Mathematics topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free FE Exam Prep practice test or use flashcards for spaced repetition review.

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The eigenvalues of a 2x2 matrix are found by solving:

✓ Correct Answer: Option B

📚 About This FE Exam Prep Practice Question

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