To find the complex conjugate of a complex number, we simply reverse the sign of its imaginary component. Suppose the complex number is denoted as a + bi, then its conjugate will be a - bi. This process is particularly crucial for various mathematical tasks such as the normalization of complex numbers and the simplification of complex fractions.
| Topic | Problem | Solution |
|---|---|---|
| None | Given $z=7+3 i$, find the product $z \cdot \bar{z… | Given the complex number \(z = 7 + 3i\), we are asked to find the product \(z \cdot \bar{z}\). |