Construct a 3 × 4 matrix, whose elements are given by:

In general 3 × 4 matrix is given by A =

a_ij = 2i-j, i = 1,2,3 and j = 1,2,3,4

Therefore,

a₁₁ = 2 × 1 - 1 = 2 - 1 = 1

a₂₁ = 2 × 2 - 1 = 4 - 1 = 3

a₃₁ = 2 × 3 - 1 = 6 - 1 = 5

a₁₂ = 2 × 1 - 2 = 2 - 2 = 0

a₂₂ = 2 × 2 - 2 = 4 - 2 = 2

a₃₂ = 2 × 3 - 2 = 6 - 2 = 4

a₁₃ = 2 × 1 - 3 = 2 - 3 = -1

a₂₃ = 2 × 2 - 3 = 4 - 3 = 1

a₃₃ = 2 × 3 - 3 = 6 - 3 = 3

a₁₄ = 2 × 1 - 4 = 2 - 4 = -2

a₂₄ = 2 × 2 - 4 = 4 - 4 = 0

a₃₄ = 2 × 3 - 4 = 6 - 4 = 2

Therefore, required matrix is A =