Real and imaginary parts of a complex number
Let&nbsp;\(z=x+yi\) be a complex number. We define the real part of \(z\) to be the first (real number) component \(x\), and the imaginary part of \(z\) to be the second (real number) component \(y\). We use the following notations for the real and imaginary parts of \(z\):
\[\mathrm{Re}(z)=x \text{ and}\hspace{0.5em} \mathrm{Im}(z)=y\]

**Real and imaginary parts of a complex number**

Let \(z=x+yi\) be a complex number. We define the **real part** of \(z\) to be the first (real number) component \(x\), and the **imaginary part** of \(z\) to be the second (real number) component \(y\). We use the following notations for the real and imaginary parts of \(z\):

\[\mathrm{Re}(z)=x \text{ and } \mathrm{Im}(z)=y\]

Complex Numbers - Introduction to Complex Numbers

Complex Numbers - Introduction to Complex Numbers