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Prove the Set is a Subspace with Subspace Test | Linear Algebra Exercises
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We complete six examples of proving if a subset of a vector space is a subspace or not using the two step subspace test. This subspace test requires we check for closure under vector addition and closure under scalar multiplication. If W is a subset of a vector space V and is closed as previously mentioned, then W is a subspace of V. Our example will concern an arbitrary vector space, the vector space R3, and the vector space Mnn of square matrices of dimension nxn. #linearalgebra
The Vector Subspace Test: (coming soon)
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Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
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The Vector Subspace Test: (coming soon)
◉Textbooks I Like◉
★DONATE★
Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
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