If A and B are square matrices of same order, then which of the following is…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If A and B are square matrices of same order, then which of the following is skew–symmetric –
- \(\frac{\mathrm{A}+\mathrm{A}^{\mathrm{T}}}{2}\)
- \(\frac{\mathrm{A}^{\mathrm{T}}+\mathrm{B}^{\mathrm{T}}}{2}\)
- \(\frac{\mathrm{A}^{\mathrm{T}}-\mathrm{B}^{\mathrm{T}}}{2}\)
- \(\frac{\mathrm{B}-\mathrm{B}^{\mathrm{T}}}{2}\)
Answer
(D) B - B ^ T 2
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