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Introduction on Not Subspace
Now that we know what vector spaces are, let's learn about Two examples, where you first have to decide whether you need to show the set is a Show that the set K X and X 2 where X 1 is bigger than equal to 0 is Using a counterexample, we demonstrate that a set is An example demonstrating the process in determining if a set or space is a We see that all of R^n, {0}, and lines through the origin are all subspaces, but that lines NOT through the origin are
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Not a subspace
Subspaces and Span
![What is a Subspace? [Passing Linear Algebra]](https://ytimg.googleusercontent.com/vi/JoeVHP_jg44/mqdefault.jpg)
What is a Subspace? [Passing Linear Algebra]
Two Subspaces of R^2 whose Union is not a Subspace
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Last Updated: May 23, 2026
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![What is a Subspace? [Passing Linear Algebra]](https://i0.wp.com/ytimg.googleusercontent.com/vi/JoeVHP_jg44/mqdefault.jpg?resize=320,180)
