Understanding the Addition of Subspaces in Linear Algebra

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    Addition Subspaces
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Discussion Overview

The discussion revolves around the concept of "addition of subspaces" in linear algebra, exploring its definition and how it differs from the "union of subspaces." Participants seek clarification on the terminology and implications of these concepts.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the definition of "addition of subspaces," noting that it is distinct from the "union of subspaces," which only forms a subspace under specific conditions.
  • Another participant suggests that the term may refer to the direct sum of two vector spaces, providing a link for further reference.
  • A different participant expresses concern about the practice of posting the same question in multiple threads, indicating a preference for focused discussions.
  • Another post reiterates the concern regarding multiple threads, linking to a previous discussion as an example.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the definition of "addition of subspaces," and there are differing opinions on the appropriateness of posting similar questions in multiple threads.

moonbounce7
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What exactly is the "addition of subspaces?" It is obviously not the same as the "union of subspaces," since the union of subspaces A and B in V is a subspace of V only if A is contained in B (or B is contained in A).
 
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You should probably only ask the same question in one place.
 
It probably refers to the direct sum of two vector spaces. Link.
 

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