Question

Construct a 2 $\times$ 2 matrix $A=\left[a_{ij}\right]$, whose elements are given by $a_{ij}=|-5i+2j|$.

Answer 1

$\left[\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right]$

$a_{ij}=|-5i+2j|$

Therefore,

$a_{11}=|-5+2|=3$

$a_{12}=|-5+4|=1$

$a_{21}=|-10+2|=8$

$a_{22}=|-10+4|=6$

$\left[\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right]$ = $\left[\begin{array}{cc}3& 1\\ 8& 6\end{array}\right]$