MCQ
In the determinant $\left| {\,\begin{array}{*{20}{c}}0&1&{ - 2}\\{ - 1}&0&3\\2&{ - 3}&0\end{array}\,} \right|$, the ratio of the co-factor to its minor of the element $-3$ is
- ✓$-1$
- B$0$
- C$1$
- D$2$
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where $\omega=\frac{-1+ i \sqrt{3}}{2},$ and $I _{3}$ be the identity matrix of order $3$. If the determinant of the matrix $\left( P ^{-1} AP - I _{3}\right)^{2}$ is $\alpha \omega^{2},$ then the value of $\alpha$ is equal to
Consider the following two statements:
$(A): f(x) \leq 1$, for all $x \in[2,4]$
$(B)$ : $f(x) \geq \frac{1}{8}$, for all $x \in[2,4]$
Then,