# Engineering Analysis/Linear Spaces

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## Linear Spaces[edit]

Linear Spaces are like Vector Spaces, but are more general. We will define Linear Spaces, and then use that definition later to define Function Spaces.

If we have a space X, elements in that space f and g, and scalars a and b, the following rules must hold for X to be a linear space:

- There is a null element φ such that φ
*+ f = f*. *f + (-f) =*φ