Construct a 2 ×3 matrix A = [a jj ] whose elements a jj are given by : a ij = 2i – j

Question

Philoid · Accepted Answer

Let A = [a_ij]_2×3

So, the elements in a 2×3 matrix are

a₁₁, a₁₂, a₁₃, a₂₁, a₂₂, a₂₃

A = ………………. (1)

a₁₁ = 2×1 – 1 = 2 – 1 = 1 a₁₂ = 2×1 – 2 = 2 – 2 = 0 a₁₃ = 2×1 – 3 = 2 – 3 = – 1

a₂₁ = 2×2 – 1 = 4 – 1 = 3 a₂₂ = 2×2 – 2 = 4 – 2 = 2 a₂₃ = 2×2 – 3 = 4 – 3 = 1

So, from (1)

A =