1.1 Complex Numbers

1

What is ${\rm i}$? What is ${\rm i}^2$?

2

What is the magnitude of a complex number? Give an example complex number and its magnitude.

3

What is the complex conjugate of a complex number? Which has the larger magnitude, a complex number or its complex conjugate?

4

What important quantity is given by $\sqrt{cc^*}$?

5

What is the Euler formula?