Construct a 3×4 matrix A = [ai j] whose elements ai j are given by  ai j = \dfrac{1}{2} |-3i + j|

Given a_{i j} = \( \dfrac{1}{2}\) |-3i + j|

Let A = [a_{i j}]_2×3

So, the elements in a 3×4 matrix are

a₁₁, a₁₂, a₁₃, a_14, a₂₁, a₂₂, a₂₃, a₂₄, a_31, a_32, a_33, a₃₄

a₁₁ = -1

a₁₂ = \(- \dfrac{1}{2}\)

a₁₃ = 0

a₁₄ = \( \dfrac{1}{2}\)

a₂₁ = \( - \dfrac{5}{2}\)

a₂₂ = -2

a₂₃ = \( - \dfrac{3}{2}\)

a₂₄ = -1

a₃₁ = -4

a₃₂ = \( - \dfrac{7}{2}\)

a₃₃ = -3

 a₃₄ = \( - \dfrac{5}{2}\)