Form the Matrix A
Given:
\[ a_{ij} = i + 2j,\quad A \text{ is } 2 \times 2 \]
Step 1: Compute Elements
\[ a_{11} = 1 + 2(1) = 3 \]
\[ a_{12} = 1 + 2(2) = 5 \]
\[ a_{21} = 2 + 2(1) = 4 \]
\[ a_{22} = 2 + 2(2) = 6 \]
Step 2: Write Matrix
\[ A = \begin{bmatrix} 3 & 5 \\ 4 & 6 \end{bmatrix} \]
Final Answer:
\[ A = \begin{bmatrix} 3 & 5 \\ 4 & 6 \end{bmatrix} \]