Construct a 3 × 4 matrix A = [aij] whose element aij are given by… - Vidyadip

Question

Construct a 3 × 4 matrix A = [a_ij] whose element a_ij are given by:
a_ij = j

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Answer

Here, $\text{A}=(\text{a}_\text{ij})_{3\times4}=\begin{bmatrix}\text{a}_{11}&\text{a}_{12}&\text{a}_{13}&\text{a}_{14}\\\text{a}_{21}&\text{a}_{22}&\text{a}_{23}&\text{a}_{24}\\\text{a}_{31}&\text{a}_{32}&\text{a}_{33}&\text{a}_{34}\end{bmatrix}\ \dots(1)$
a₁₁ = 1, a₁₂ = 2, a₁₃ = 3, a₁₄ = 4
a₂₁ = 1, a₂₂ = 2, a₂₃ = 3, a₂₄ = 4
a₃₁ = 1, a₃₂ = 2, a₃₃ = 3, a₃₄ = 4
Using Equation (i),
$\text{A}=\begin{bmatrix}1&2&3&4\\1&2&3&4\\1&2&3&4\end{bmatrix}$

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