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Numbers of the form $\{z= x+ i\,y:\;x,\, y\in\mathbb{R}\}$ where $i^2 = -1$. Useful especially as quantum mechanics, where system states take complex vector values.

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Seeking for help with complex conjugate of bra|ket

I have 2 vectors: $$|a\rangle=\begin{pmatrix} 2+i & 2+2i\end{pmatrix}$$ and $$ |b\rangle=\begin{pmatrix} 1+i & 1+2i\end{pmatrix}$$ So basically I need to show that $$\langle a| b\rangle=\langle b| a\r …
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