Algebraic multiplicity of the matrix

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Discussion Overview

The discussion revolves around the concept of algebraic multiplicity in relation to a specific matrix. Participants are attempting to clarify the question posed and whether it pertains to eigenvalues, as well as the implications of the term "algebraic multiplicity" in this context.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants express confusion regarding the term "algebraic multiplicity of a matrix," suggesting it may not be a valid concept.
  • Others indicate that if the question pertains to eigenvalues, then it could make sense, but the original phrasing is problematic.
  • One participant suggests that the question could be clarified by determining the eigenvalues of the matrix in question.
  • There is a reference to external resources for finding eigenvalues, indicating that some participants are willing to guide others in the right direction.

Areas of Agreement / Disagreement

Participants generally disagree on the validity of the term "algebraic multiplicity of a matrix," with some asserting it is incorrect. The discussion remains unresolved regarding the correct interpretation of the original question and its relation to eigenvalues.

Contextual Notes

There is a lack of clarity regarding the definitions and assumptions related to algebraic multiplicity and eigenvalues, which may affect the understanding of the question posed.

srinivasanlsn
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The algebraic multiplicity of the matrix
[ 0 1 0 ]
[ 0 0 1 ]
[ 1 -3 3 ]

options :
a.1
b.2
c.3
d.4

i don get the question first, somebody help me...
 
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srinivasanlsn said:
The algebraic multiplicity of the matrix
[ 0 1 0 ]
[ 0 0 1 ]
[ 1 -3 3 ]

options :
a.1
b.2
c.3
d.4

i don get the question first, somebody help me...


This is not the first time you ask this question and you've already been said that there's no such thing as "algebraic multiplicity of a matrix".

Either you ask somebody in your school what is that IN MATHEMATICS or your quest won't be answered.

DonAntonio
 
What DonAntonio said, there's no such thing
Maybe if you were talking about the eigenvalues your question would make sense..
 
hmm ok atleast from the 4 options given , can u figure out the question ?? if its eigen value wat will be the ans ?
 
srinivasanlsn said:
hmm ok atleast from the 4 options given , can u figure out the question ?? if its eigen value wat will be the ans ?

Do you know how to find the eigenvalues?
If so, find them
If not http://mathworld.wolfram.com/Eigenvalue.html
 

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