About this document
Subspace Examples and Solutions in R3 by misha is a document available to read on EtoBox.
The document provides examples of proofs verifying whether subsets of vector spaces are subspaces. It includes: 1) A proof that the subset {x ∈ R3 | x1 = x2 + x3} is a subspace by showing it satisfies the three properties of a subspace: containing the zero vector, closed under vector addition, and closed under scalar multiplication. 2) An example of a proof that the subset {x ∈ R2 | x1 = x2 or x1 = -x2} is not a subspace by exhibiting that it is not closed under vector addition. 3) Outlines the key comp
- Author
- misha
- Language
- EN