Question

Consider the matrix $M=\begin{bmatrix} 2 & -1 \\\ 3 & 1 \end{bmatrix}$.
Which ONE of the following statements is TRUE ?

• A. The eigenvalues of M are non-negative and real.
• B. The eigenvalues of M are complex conjugate pairs.
• C. One eigenvalue of M is positive and real, and another eigenvalue of M is zero.
• D. One eigenvalue of M is non-negative and real, and another eigenvalue of M is negative and real.

Answer 1

Answer: (B)

The eigenvalues of M are complex conjugate pairs.

Answer 2

The correct option is (B) : The eigenvalues of M are complex conjugate pairs..