This equation shows how to find the complex conjugate (\( \htmlClass{sdt-0000000130}{^{*}} \)) of any given complex number.
\( b \) | This is a symbol for any secondary generic constant. It can hold any numerical value |
\( a \) | This is a symbol for any generic constant. It can hold any numerical value |
\( j \) | This symbol represents the imaginary unit, which is defined as the square root of \(-1\). \( j = \sqrt{-1}\). It is the most fundamental unit in the field of complex numbers, allowing for the expression of numbers that cannot be represented on the real number line. |
\( ^{*} \) | This is the symbol for the complex conjugate, representing the reflection of any complex number along the real axis. If \(Z\) is a complex number, then \(Z^{*}\) is it's conjugate. |
From here, we can plug these values into the equation to get the complex conjugate:
\[ \htmlClass{sdt-0000000006}{Z} \htmlClass{sdt-0000000130}{^{*}} = 3 - 2\htmlClass{sdt-0000000129}{j} \]