Allied & ICAR Exam Bank • ALLIED_0013 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Eigen values and Eigen vectors

Question Statement:

The eigenvalues of any real skew-symmetric matrix ($A^T = -A$) are always:

Options:

  • (A) Purely imaginary or zero
  • (B) Real and positive
  • (C) Real and negative
  • (D) Strictly unit magnitude

Answer Key:

A

Step-by-Step Solution & Explanation

Real skew-symmetric matrices have conjugate purely imaginary or zero eigenvalues.
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