Question

Construct a 2 × 2 matrix whose elements in the ith row and jth column are given by:

a_ij = (−3i + j)

Answer 1

We have a_ij = (−3i + j)

a₁₁ = −3(1) + 1 = −2

a₁₂ = −3(1) + 2 = −1

a₂₁ = −3(2) + 1 = −5

a₂₂ = −3(2) + 2 = −4

∴ The required matrix is `[(-2, -1),(-5, -4)]`