Let $z=x+y\text{i}$. The conjugate of ${{z}^{*}}$, is defined by ${{z}^{*}}=x-yi$. Exampl

Question

Let $z=x+y\text{i}$. The conjugate of ${{z}^{*}}$, is defined by ${{z}^{*}}=x-yi$. Example: If $z=6+7\mathbf{i}$, then ${{z}^{*}}=6-7\mathbf{i}$ If $z=-4-\mathbf{i}$, then ${{z}^{*}}=\text{}\hspace{0.5em}$ If $z=-\mathbf{i}$, then ${{z}^{*}}=\text{}\hspace{0.5em}$ If $z=4$, then ${{z}^{*}}=\text{}\hspace{0.5em}$

Accepted Answer

$(x+y\mathbf i)^*=x-y\mathbf i;\quad (-4-\mathbf i)^*=-4+\mathbf i,\quad (-\mathbf i)^*=\mathbf i,\quad 4^*=4$

Conjugates and Division

Conjugates and Division

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