Prove the Set is a Subspace with Subspace Test | Linear Algebra Exercises

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

Subspaces of Vector Spaces:    • Vector Subspaces and Subspace Test Ex...  
The Vector Subspace Test: (coming soon)

Linear Algebra course:    • Linear Algebra  
Linear Algebra exercises:    • Linear Algebra Exercises  

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