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Mathematics · JEE | MATRICES

हिन्दी

Let \( A \) be any square matrix with real entries. Then \( A - A' \) is always a:

  1. A
    Symmetric matrix
  2. B
    Skew-symmetric matrix
  3. C
    Diagonal matrix
  4. D
    Scalar matrix
View Answer & Solution

Correct answer · Option B

Skew-symmetric matrix

Explanation

Taking transpose of \( A - A' \) gives \( (A - A')' = A' - (A')' = A' - A = -(A - A') \), making it skew-symmetric.
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