Question
Construct a matrix $A=\left[a_{i j}\right]_{3 \times 2}$ whose elements ay are given by
$a_{i j}=i-3 j$
$a_{i j}=i-3 j$
$\begin{aligned} & \therefore a_{11}=1-3(1)=1-3=-2 \\ & a_{12}=1-3(2)=1-6=-5 \\ & a_{21}=2-3(1)=2-3=-1 \\ & a_{22}=2-3(2)=2-6=-4 \\ & a_{31}=3-3(1)=3-3=0 \\ & a_{32}=3-3(2)=3-6=-3\end{aligned}$
$\therefore A=\left[\begin{array}{cc}-2 & -5 \\ -1 & -4 \\ 0 & -3\end{array}\right]$
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$(a-b)(a-b w)\left(a-b w^2\right)=a^3-b^3$