Proof of Brownian Motion: X(a^2t)/a

[dirk_mec1]

Homework Statement

Show that $$\frac{X ( a^2t) }{a}$$ is a brownian motion.

Homework Equations

http://img168.imageshack.us/img168/8453/83818601fz4.png

The Attempt at a Solution

I found this in my lecture notes but isn't the proof just replacing (t-s) by a^2(t-s) and s by a^2 s and dividing through a?

http://img504.imageshack.us/img504/7958/95843783bk9.png

 

[rochfor1]

Is X(t) a brownian motion?

 

[dirk_mec1]

Is X(t) a brownian motion?

Yes, I forgot to mention that!