TS EAMCET · Maths · Matrices
If \(\left[\begin{array}{lll}a & b & c \\ d & e & f \\ g & h & i\end{array}\right]\)
is a skew symmetric matrix and \(b, c, f\) are non-zero real numbers then \(\frac{b}{c}=\)
- A \(\frac{d h}{f g}\)
- B \(\frac{d f}{g h}\)
- C \(\frac{-d f}{g h}\)
- D \(\frac{-d h}{f g}\)
Answer & Solution
Correct Answer
(D) \(\frac{-d h}{f g}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{A}=\left[\begin{array}{lll} \mathrm{a} & \mathrm{b} & \mathrm{c} \\ \mathrm{d} & \mathrm{e} & \mathrm{f} \\ \mathrm{g} & \mathrm{h} & \mathrm{u} \end{array}\right] \quad \because \mathrm{A}=-\mathrm{A}^{\mathrm{t}} \\ & \Rightarrow…
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