1. Is it true that the product of a complex number and its conjugate is a real number? Explain. 2. Prove that the reciprocal of a + bi, where a and b are not both zero, is 3. Evaluate  (read “n...

1. Is it true that the product of a complex number and its conjugate is a real number? Explain.

2. Prove that the reciprocal of a + bi, where a and b are not both zero, is

3. Evaluate  (read “n factorial”) is the product of the integers from 1 through n if nÚ1 and 0! = 1.