Mathematics

Question

consider the transformatiion w= 2iz + 5z, where z = x + iy and w= u + iv, determine u and v

1 Answer

  • [tex]w=2iz+5z[/tex]
    [tex]w=2i(x+iy)+5(x+iy)[/tex]
    [tex]w=2ix-2y+5x+5iy[/tex]
    [tex]w=\underbrace{(5x-2y)}_u+i\underbrace{(2x+5y)}_v[/tex]
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