Question

Form а 3x3 matrix such that (a) Aij=i+j
(b) Aij=2i-3j​

Answer 1

Step-by-step explanation:

$\begin{array}{l} \tt \: a_{ij}=i+j \\ \end{array}$

$\color{darkcyan}\left.\begin{array}{ : l : } \hline \tt a_{11}=1+1=2 \\ \tt a_{12}=1+2=3 \\ \tt a_{13}=1+3=4 \\ \tt a_{21}=2+1=3 \\ \tt a_{22}=2+2=4 \\ \tt a_{23}=2+3=5 \\ \tt a_{31}=3+1=4 \\ \tt a_{32}=3+2=5 \\ \tt a_{33}=3+3=6 \\ \\ \tt {\left[\begin{array}{ll} \tt a_{11} & \tt a_{12} & \tt a_{13}\\ \tt a_{21} & \tt a_{22} & \tt a_{23} \\ \tt a_{31} & \tt a_{32} & \tt a_{23}\end{array}\right]=\left[\begin{array}{ll}2 & 3 & 4 \\ 3 & 4 & 5 \\ 4& 5& 6\end{array}\right]} \\ \\ \hline\end{array}\right.$