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Question
Construct a matrix A = [aij]2×2 whose elements aij are given by aij = e2ix sin jx.
Solution
For i = 1, j = 1, a11 = e2x sin x
For i = 1, j = 2, a12 = e2x sin 2x
For i = 2, j = 1, a21 = e4x sin x
For i = 2, j = 2, a22 = e4x sin 2x
Thus A = `[("e"^(2x) sin x, "e"^(2x) sin 2x),("e"^(4x) sin x, "e"^(4x) sin 2x)]`
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