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## Homework Statement

1. Given that |ψ> = e

^{iπ/5}|a> + e

^{iπ/4}|b>, express <ψ| as a linear combination of <a| and <b|.

2. What properties characterise the bra <a| that is associated with the ket |a>?

## Homework Equations

## The Attempt at a Solution

1. <ψ| = e

^{-iπ/5}<a| + e

^{-iπ/4}<b|

2. a. The bra <a| when applied on the ket |a> will give 1.

b. The bra <a| is a linear function, which applied on the other elements of the vector space of |a> will give a complex scalar.

Comments are welcome.