To match the complex numbers to their correct values, let's simplify each complex number and match them accordingly.
1. Simplify the given complex numbers:
- [tex]\(1 + 0j\)[/tex]
- [tex]\(-1 + 0j\)[/tex]
- [tex]\(0 + 1j\)[/tex]
- [tex]\(0 - 1j\)[/tex]
2. Assign the simplified complex numbers to their values:
- [tex]\(1 + 0j\)[/tex] simplifies to [tex]\(1\)[/tex]
- [tex]\(-1 + 0j\)[/tex] simplifies to [tex]\(-1\)[/tex]
- [tex]\(0 + 1j\)[/tex] simplifies to [tex]\(i\)[/tex]
- [tex]\(0 - 1j\)[/tex] simplifies to [tex]\(-i\)[/tex]
3. Match them with their corresponding simplified forms:
[tex]\[
\begin{tabular}{|l|l|l|l|}
\hline
1 & -1 & i & -i \\
\hline
\multirow{2}{}{(1+0j)} & \multirow{2}{}{(-1+0j)} & \multirow{2}{}{1j} & \multirow{2}{}{-1j} \\
\hline
\end{tabular}
\][/tex]
There we go! We have successfully matched the complex numbers with their correct values.
