I'm reading this book on modern geometry and I was wondering if I'm doing these problems right:(adsbygoogle = window.adsbygoogle || []).push({});

if I'm give a point 2+i and I'm suppose to rotate is 90 degrees

first I move it to the origin

T(z)=z-(2+i)

second, I rotate it

e^(pi/2*i)*z

I'm not sure how to interpret that algebraically

then i replace it

T^-1(z)= z+(2+i)

Am I actually doing this right, the book I'm reading is kind of old and doesn't have many worked examples.

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# Rotations in Complex Plane

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