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You have to keep refreshing the page.Brian_D said:
The vectors should be columns in your matrix. It doesn't work if you make the vectors the rows. You should check this yourself.Brian_D said:
Conflicting definitions of linear independence
- Thread starter Brian_D
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Homework Help Overview
The discussion revolves around the concept of linear independence in the context of a set of vectors in R4. The original poster expresses confusion regarding conflicting definitions of linear independence, particularly in relation to the presence of a zero vector and the implications of an underdetermined system.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants explore the definitions of linear independence and question the implications of having a zero vector and underdetermined systems. There are attempts to reconcile the definitions with specific examples and scenarios involving the vectors in question.
Discussion Status
The discussion is active, with participants raising questions about the definitions and their applicability to the problem at hand. Some participants provide clarifications regarding the nature of linear independence, while others express ongoing confusion about the implications of the zero vector and the uniqueness of solutions.
Contextual Notes
There are references to specific vectors and their coefficients, as well as the distinction between unique and non-unique solutions in the context of linear independence. The conversation highlights the complexity of understanding these concepts, especially for those new to linear algebra.
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