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1.
IBMHL Complex Numbers Lesson 5 1 Interesting Properties of Complex Conjugates 1) Show that z+z* and zz* are always real. 2) If z= rcis 𝜃 then z* = Include a diagram here. 3) If z = x+iy and w = u+iv, prove (z+w)*=z*+w* 4) If z = x+iy and w = u+iv, prove that (zw)* = z*w* 5) If z = x+iy and w = u+iv, prove !∗ !∗ =
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