# What is the variance of a Gaussian RV

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## Main Question or Discussion Point

Hi,

Let y = x + z, where x and z are mutually independent RVs. Also, z is a complex gaussian RV with zero mean and variance sigma^2.

My question is as follows:

For x = y - z, what is the variance of (-z) ?

Any help could be useful.

## Answers and Replies

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RPinPA
var(-z) = var(z). In general var($\alpha z$) = $\alpha^2$var(z). Let $\alpha = -1$