Question

Construct a 2 x 2 matrix A = [aij] whose elements aij are given by aij = i + 2j​

Answer 1

Answer:

The answer is $A=\begin{bmatrix}3&5\\4&6\end{bmatrix}$

Step-by-step explanation:

Given  $a_{ij}=i+2j$

$\Rightarrow a_{11}=1+2(1)=3,a_{12}=1+2(2)=5$

    $a_{21}=2+2(1)=4,a_{22}=2+2(2)=6$

Therefore required matrix is

    $A=[a_{ij}]=\begin{bmatrix}a_{11}&a_{12}\\a_{21}&a_{22}\end{bmatrix}=\begin{bmatrix}3&5\\4&6\end{bmatrix}$