Question

[aij
3 x 3 materia A =
i construet
whose elements
given by a(ij)=I*j​

Answer 1

$\large\underline{\sf{Solution-}}$

Consider a matrix of order 3 × 3 as

$\begin{gathered}\sf Let\:A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{array}\right]\end{gathered}$

According to statement,

$\bf :\longmapsto\:a_{ij} = i \times j$

So,

$\blue{\bf :\longmapsto\:a_{11} = 1 \times 1 = 1}$

$\blue{\bf :\longmapsto\:a_{12} = 1 \times 2 = 2}$

$\blue{\bf :\longmapsto\:a_{13} = 1 \times 3 = 3}$

$\red{\bf :\longmapsto\:a_{21} = 2 \times 1 = 2}$

$\red{\bf :\longmapsto\:a_{22} = 2 \times 2 = 4}$

$\red{\bf :\longmapsto\:a_{23} = 2 \times 3 = 6}$

$\green{\bf :\longmapsto\:a_{31} = 3 \times 1 = 3}$

$\green{\bf :\longmapsto\:a_{32} = 3 \times 2 = 6}$

$\green{\bf :\longmapsto\:a_{33} = 3 \times 3 = 9}$

Hence

$\begin{gathered}\sf\:A=\left[\begin{array}{ccc}1&2&3\\2&4&6\\3&6&9\end{array}\right]\end{gathered}$

Additional Information :-

Order of a matrix :-

• It is defined as number of rows × number of columns.

If Order of matrix is m × n, it provides 3 information

• 1. Number of elements in matrix = mn

• 2. Number of elements in each row = n

• 3. Number of elements in each column = m