Practice question · Select all that apply
Which statements about eigenvalues are correct?
Hints
- Check whether a repeated root is possible.
- Multiplicity means distinctness is not guaranteed.
Show the answer
- B. Eigenvalues are roots of the characteristic polynomial
- C. The product of eigenvalues equals the determinant
- D. An eigenvector is scaled but not rotated by the matrix
Why
A 2x2 matrix can have a repeated eigenvalue (e.g., with multiplicity 2), so the third statement is false.
Practise Eigenvalues and Eigenvectors
The app has 8 more questions on this lesson, and keeps your place in the course. Business I is free to start.