Construct `a3x2m a t r i xA=[a_(i j)]` whose elements are given by `a_(i j)=e^(i x)sinjx` `a_(i j)=e^(-i x)cos(pi/2i+j x)`

Explanation

Here, `a_(ij) = e^(ix)sinjx`

`:. a_11 = e^xsinx`

`a_12 = e^xsin2x`

`a_21 = e^(2x)sinx`

`a_22 =e^(2x)sin2x`

`a_31 = e^(3x)sinx`

`a_32 = e^(3x)sin2x`

So, the required matrix will be,

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