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## Homework Statement

Find the dimensions of the following linear spaces.

a. the real linear space C^3

## Homework Equations

n/a

## The Attempt at a Solution

So I'm not really sure what C means. I know it's the smooth functions and I think raised to the 3rd power means it the functions whose first, second, and third derivatives are equal. But if that's the case, wouldn't e^x be the only function like that? And wouldn't that mean it's a one dimensional space? I'm kind of confused about this haha. thanks