Question

Write the element a₁₂ of the matrix A = [a_ij]_{2 × 2}, whose elements aij are given by a_ij = e^2ix sin jx.

Answer 1

Given that of a_ij = e^2ix sin jx.

Substitute i = 1 and j = 2

Thus `a_12=e^(2xx1xxx) sin(2xx x)=e^(2x)sin(2x)`