# 4: Vector spaces

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Now that important background has been developed, we are ﬁnally ready to begin the study of Linear Algebra by introducing vector spaces. To get a sense of how important vector spaces are, try ﬂipping to a random page in these notes. There is very little chance that you will ﬂip to a page that does not have at least one vector space on it.

## Contributors

Both hardbound and softbound versions of this textbook are available online at WorldScientific.com.

This page titled 4: Vector spaces is shared under a not declared license and was authored, remixed, and/or curated by Isaiah Lankham, Bruno Nachtergaele, & Anne Schilling.