AP EAMCET · Maths · Determinants
If \(A=\left[\begin{array}{lll}83 & 74 & 41 \\ 93 & 96 & 31 \\ 24 & 15 & 79\end{array}\right]\), then \(\operatorname{det}\left(A-A^{\mathrm{T}}\right)=\)
- A 0
- B -7851
- C 2442
- D 1
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
Since, \(A=\left[\begin{array}{lll}83 & 74 & 41 \\ 93 & 96 & 31 \\ 24 & 15 & 79\end{array}\right]_{3 \times 3}\) Since, \(A-A^{\mathrm{T}}\) is always a skew symmetric matrix of order 3 (odd). So, \(\operatorname{det}\left(A-A^{\mathrm{T}}\right)=0\)
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