Core of matrix (pure translatio)

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    Core Matrix
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Discussion Overview

The discussion revolves around the terminology used to describe a specific type of matrix related to the equation Ax=0, focusing on the identification of the core of a matrix and its English nomenclature.

Discussion Character

  • Technical explanation

Main Points Raised

  • One participant seeks clarification on the name of the matrix type defined as the collection of vectors x for which Ax=0.
  • Another participant suggests the term "nullspace" as a possible name for this type of matrix.
  • A third participant confirms that it is commonly referred to as the "kernel" or "null space" of A, providing a mathematical expression for it.
  • The initial poster expresses gratitude for the clarification received.

Areas of Agreement / Disagreement

Participants appear to agree on the terminology, identifying the core of the matrix as the kernel or null space, with no evident disagreement.

Contextual Notes

No limitations or unresolved issues are noted in the discussion.

Who May Find This Useful

This discussion may be useful for individuals seeking clarification on linear algebra terminology, particularly in relation to matrix theory and vector spaces.

maros522
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Hello all,

I have problem with name of type of matrix. The definition is next:
The core of matrix A is collection of vectors x, for which is valid Ax=0.

Does anybody know the name of this type in english language. Example will be also good.

Thank You
 
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It's usually called the kernel or the null space of A
kerA ={x | Ax=0}
 
Thank You, it is exactly what I want.
 

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