What are the eigenvalues of the matrix with rows (6, 2) and (0, 4)?
Answer and explanation
Correct answer: B. 4 and 6
- Step 1: The matrix is upper triangular, so the eigenvalues are the diagonal entries. Step 2. They are 6 and 4. Answer: 4 and 6. Why not the others: 10 and 24 is what you get if you give the trace and the determinant. -6 and -4 is what you get if you change the signs of the diagonal. 6 and 2 is what you get if you use a diagonal entry and the off-diagonal entry.
Practise more Algebra, calculus and vectors.
Free questions with an explanation for every one, and full timed JEE Advanced mock tests.
More Algebra, calculus and vectors questions
- What are the eigenvalues of the matrix with rows (6, 2) and (0, 2)?
- The curve has two stationary points. Find the difference between their -coordinates (larger minus smaller).
- If and are the roots of , find .
- If and , find the real part of .
- Find for and .
- Two independent events have probabilities 0.5 and 0.4. What is the probability that at least one occurs?