Question

Construct a 2 $\times$ 2 matrix by A = $\left[a_{ij}\right]$ whose elements are given by $a_{ij}$= 2i – j

Answer 1

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

$a_{11}=2\left(1\right)-1=1$

$a_{12}=2\left(1\right)-2=0$

$a_{21}=2\left(2\right)-1=3$

$a_{22}=2\left(2\right)-2=2$

Therefore $A=\left[\begin{array}{cc}1& 0\\ 3& 2\end{array}\right]$