MLF Quiz 1 15 Mar 2026 — Question 9

Select all that apply.

1. A

   Every square matrix with real entries has at least one real eigenvalue.

2. B

   A set of two eigenvectors corresponding to the same eigenvalue of a square matrix must be linearly dependent.

3. C

   Given a square matrix of order , the set of all eigenvectors for an eigenvalue , along with the zero vector, forms a subspace of .

4. D

   A square matrix is not invertible if and only if is one of its eigenvalues.