MA 262: 4.1 Review- Vector Spaces
Review of lesson 4.1 for MA 262 (Linear Algebra & Differential Equations) at Purdue University. Content based on class textbook Differential Equations & Linear Algebra by C. Henry Edwards and David E. Penney (ISBN: 9780536264923). 4.1 defines vector spaces and various pertinent concepts to evaluate their existence. These include the definition and meaning of linear independence/dependence, linear combinations, span, null space, and requirements to be a vector space (closure under vector multiplication and addition, inclusion of zero vector). Example problems provided for common vector space evaluation questions with methods/rationale to determine existence.
Written for
- Institution
-
Purdue University
- Course
-
MA 262 (MA262)
Document information
- Uploaded on
- June 26, 2024
- Number of pages
- 2
- Written in
- 2023/2024
- Type
- Class notes
- Professor(s)
- Heejong lee
- Contains
- All classes
Subjects
- linear algebra
- vector spaces
- vector addition
- vector multiplication
- subspaces
- linear dependence
- determinant
-
null space
-
homogeneous
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