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Mathematics · JEE | MATRICES

हिन्दी

If \( A \) is any square matrix with real number entries, then which of the following represents a skew symmetric matrix?

  1. A
    \( A + A' \)
  2. B
    \( AA' \)
  3. C
    \( A - A' \)
  4. D
    \( A'A \)
View Answer & Solution

Correct answer · Option C

\( A - A' \)

Explanation

For any square matrix \( A \), the matrix \( A - A' \) is always skew symmetric since \( (A - A')' = A' - A = -(A - A') \).
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