Construct a matrix A = [ a _ i j ]_ 3 2 whose elements aij isgive… - Vidyadip

Question

Construct a matrix $A =\left[ a _{ i j}\right]_{3 \times 2}$ whose elements aij isgiven by : $a_{ij} = i – 3j$

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Answer

$\begin{aligned} & a _{ ij }= i -3 j \\ & \therefore a _{11}=1-3(1)=1-3=-2 \\ & a _{12}=1-3(2)=1-6=-5 \\ & a _{21}=2-3(1)=2-3=-1 \\ & a _{22}=2-3(2)=2-6=-4 \\ & a _{31}=3-3(1)=3-3=0 \\ & a _{32}=3-3(2)=3-6=-3 \\ & \therefore A =\left[\begin{array}{cc}-2 & -5 \\ -1 & -4 \\ 0 & -3\end{array}\right]\end{aligned}$

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