Problem 1.1. For complex number c = a + bi, recall that the real and imaginary...

 

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Problem 1.1. For complex number c = a + bi, recall that the real and imaginary parts of c are denoted Re(c) a and Imag(c) = b. - ( 4 Points) Prove that c + c* = 2. Re(c). Prove that cc* = a + b. What is the polar form of c = Draw c= ? Use the fact that e = cos 0 + i sin 0? as a vector in the complex plane. Problem 1.1. For complex number c = a + bi, recall that the real and imaginary parts of c are denoted Re(c) a and Imag(c) = b. - ( 4 Points) Prove that c + c* = 2. Re(c). Prove that cc* = a + b. What is the polar form of c = Draw c= ? Use the fact that e = cos 0 + i sin 0? as a vector in the complex plane.

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To prove the given statements 1 C c 2Rec c c a bi a bi 2a 2Rec 2 Cc a bia bi a2 b... View the full answer