TS EAMCET · Maths · Matrices
If \(\left|\begin{array}{ccc}\alpha & \beta & \gamma \\ a & b & c \\ l & m & n\end{array}\right|=(-1)^K\left|\begin{array}{ccc}m & n & l \\ b & c & a \\ \beta & \gamma & \alpha\end{array}\right|\), then the least value of \(K\) is
- A 2
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
\begin{aligned} \left|\begin{array}{lll}\alpha & \beta & \gamma \\ a & b & c \\ l & m & n\end{array}\right| & =(-1)\left|\begin{array}{ccc}\beta & \alpha & \gamma \\ b & a & c \\ m & l & n\end{array}\right|\left(\because C_1 \leftrightarrow C_2\right) \\ &…
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