Question

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

`a_(ij) = (3i - j)/2`

Answer 1

We have `a_(ij) = (3i - j)/2`

a₁₁ = `(3(1) - 1)/2 = 2/2` = 1

a₁₂ = `(3(1) - 2)/2 = 1/2`

a₂₁ = `(3(2) - 1)/2 = 5/2`

a₂₂ = `(3(2) - 2)/2 = 4/2` = 2

∴ The required matrix is `[(1, 1/2),(5/2, 2)]`.