Q5 of 307 Page 6

Construct a 2 × 2 matrix A = [a_jj] whose elements a_jj are given by :
a_ij = e^2ix sin xj

Let A = [a_ij]_2×2

So, the elements in a 2×2 matrix are

a₁₁, a₁₂, a₂₁, a₂₂,

A = …… (1)

a₁₁ =

a₁₂ =

a₂₁ =

a₂₂ =

So, from (1)

A =

Construct a 2 × 2 matrix A = [a_jj] whose elements a_jj are given by :

Construct a 3×4 matrix A = [a_jj] whose elements a_jj are given by :

a_jj = i + j

Construct a 3×4 matrix A = [a_jj] whose elements a_jj are given by :

a_jj = i – j

Construct a 2 × 2 matrix A = [ajj] whose elements ajj are given by :aij = e2ix sin xj