Question

Construct $2\times 2$ matrix $A=\left|a_{ij}\right|$ where elements are given by $a_{ij}=\frac{i}{j}$

Answer 1

$A=\left[\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right]$
$a_{11}=\frac{1}{1}=1;a_{12}=\frac{1}{2};a_{21}=\frac{2}{1}=2;a_{22}=\frac{2}{2}=1$
$A=\left[\begin{array}{cc}1& \frac{1}{2}\\ 2& 1\end{array}\right]$