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GATE Aerospace Engineering (AE) QUESTION #3774
Question 1 (Select all that apply)
Which of the following properties are characteristic of a real $n \times n$ matrix $A$?
  • If $A$ is symmetric, its eigenvalues are real.✔️
  • If $A$ is orthogonal, its determinant is $\pm 1$.✔️
  • If $A$ is skew-symmetric, its diagonal elements are zero.✔️
  • If $A$ is singular, its determinant is zero.✔️
Correct Answer Explanation
All listed options are standard properties of these specific matrix types.