Q44 / 160 · AP EAMCET 2024 (23 May Shift 1) · Mathematics
If $A=\left[\begin{array}{lll}83 & 74 & 41 \\ 93 & 96 & 31 \\ 24 & 15 & 79\end{array}\right]$, then $\operatorname{det}\left(A-A^{\mathrm{T}}\right)=$
- Correct answerA0
- B-7851
- C2442
- D1
Solution
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, $\operatorname{det}\left(A-A^{\mathrm{T}}\right)=0$
Since, $A-A^{\mathrm{T}}$ is always a skew symmetric matrix of order 3 (odd). So, $\operatorname{det}\left(A-A^{\mathrm{T}}\right)=0$
Hence, the correct answer is option: 'A'.