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## Homework Statement

Prove for complex number z1, z2, ..., zn that:

[itex]

\mathbb{R}e\left \{ \sum_{k=1}^{N} z_{k}\right \} = \sum_{k=1}^{N}\mathbb{R}e\left \{ z_{k} \right \}

[/itex]

## Homework Equations

## The Attempt at a Solution

Not sure how to setup this problem.

I was thinking:

[itex]

\mathbb{R}e\left \{ \sum_{k=1}^{N} {a_{k}} + \sum_{k=1}^{N} {ib_{k}} \right \} = \sum_{k=1}^{N}\mathbb{R}e\left \{ a_{k} + ib_{k}\right \}

[/itex]

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