MCQ
The matrix $\text{A}=\begin{bmatrix}0&\text{amp};0&\text{amp};0\\0&\text{amp};4&\text{amp};0\\4&\text{amp};0&\text{amp};0\end{bmatrix}$ is a:
- ✓Square matrix
- BDiagonal matrix
- CUnit matrix
- DNone of these
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$f(x)=x \cos \frac{1}{x}, \quad x \geq 1,$
$(A)$ for at least one $x$ in the interval $[1, \infty), f(x+2)-f(x)<2$
$(B)$ $\lim _{x \rightarrow \infty} f^{\prime}(x)=1$
$(C)$ for all $x$ in the interval $[1, \infty), f(x+2)-f(x)>2$
$(D)$ $f^{\prime}(x)$ is strictly decreasing in the interval $[1, \infty)$