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In deriving Bra notation and using it to define the scalar product in terms of the product of a Bra and a Ket, my text (p. 107) says that

$$\left<c\right|\cdot\left[\alpha\left|a\right>+\beta\left|b\right>\right]=\alpha\left<c|a\right> +\beta\left<c|d\right>$$

I'm not accomplished enough with either linear algebra or this notation to be sure, but shouldn't this be

$$\left<c\right|\cdot\left[\alpha\left|a\right>+\beta\left|b\right>\right]=\alpha\left<c|a\right> +\beta\left<c|b\right>$$

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Just ignore typos! –  Ehsan M. Kermani Mar 15 '13 at 22:28

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up vote 2 down vote accepted

Sure, a $b$ was turned into a $d$. Your second line is correct.

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Thanks. I had feared that there was something profound (or just obscure) that I might have been missing. –  raxacoricofallapatorius Mar 15 '13 at 22:32

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