Question:medium

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

Updated On: Nov 25, 2025
  • The eigenvalues of M are non-negative and real.
  • The eigenvalues of M are complex conjugate pairs.
  • One eigenvalue of M is positive and real, and another eigenvalue of M is zero.
  • One eigenvalue of M is non-negative and real, and another eigenvalue of M is negative and real.
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The Correct Option is B

Solution and Explanation

The eigenvalues of M constitute complex conjugate pairs.
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