If A and B are square matrices of same order, then which of the following is…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If A and B are square matrices of same order, then which of the following is skew–symmetric –
  1. \(\frac{\mathrm{A}+\mathrm{A}^{\mathrm{T}}}{2}\)
  2. \(\frac{\mathrm{A}^{\mathrm{T}}+\mathrm{B}^{\mathrm{T}}}{2}\)
  3. \(\frac{\mathrm{A}^{\mathrm{T}}-\mathrm{B}^{\mathrm{T}}}{2}\)
  4. \(\frac{\mathrm{B}-\mathrm{B}^{\mathrm{T}}}{2}\)

Answer

(D) B - B ^ T 2

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