Let A be a nonsingular square matrix of order 3×3.Then IadjAI is equal to
\(\mid A\mid\)
\(\mid A\mid2\)
\(\mid A\mid3\)
\(3\mid A\mid\)
We know that
(adj A)A=\(\mid A\mid I\)=\(\begin{bmatrix}\mid A\mid &0&0\\0&\mid A\mid& 0\\0&0&\mid A\mid\end{bmatrix}\)
\(\Rightarrow \)\(\mid adjA)A\mid\)=\(\begin{vmatrix}\mid A\mid &0&0\\0&\mid A\mid& 0\\0&0&\mid A\mid\end{vmatrix}\)
\(\Rightarrow \mid adjA \mid A\mid \mid\)=IAI3 \(\begin{vmatrix}1&0&0\\0&1& 0\\0&0&1\end{vmatrix}\)=\(\mid A \mid^3(I)\)
\(\therefore \mid adjA \mid= \mid A \mid^2\)
Hence, the correct answer is B
A settling chamber is used for the removal of discrete particulate matter from air with the following conditions. Horizontal velocity of air = 0.2 m/s; Temperature of air stream = 77°C; Specific gravity of particle to be removed = 2.65; Chamber length = 12 m; Chamber height = 2 m; Viscosity of air at 77°C = 2.1 × 10\(^{-5}\) kg/m·s; Acceleration due to gravity (g) = 9.81 m/s²; Density of air at 77°C = 1.0 kg/m³; Assume the density of water as 1000 kg/m³ and Laminar condition exists in the chamber.
The minimum size of particle that will be removed with 100% efficiency in the settling chamber (in $\mu$m is .......... (round off to one decimal place).