What would be the best word to describe this behavior?

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In summary, the conversation discusses three matrices with similar structures except for their non-zero entries. The question is how to relate these matrices using a simple word or definition for a mathematical proof. Suggestions include writing them as a linear combination of vectors, using anti-diagonal matrices, or considering them as permutation matrices.
  • #1
TheMathNoob
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4

Homework Statement


I have the following matrices
0 1
1 0

0 2
3 0

0 8
7 0
As you can see, the only thing that changes in the matrices are their non-zero entries. How can you relate those matrices by using a simple word or definition?. I need it for a mathematical proof that I am doing.

Homework Equations

The Attempt at a Solution

 
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  • #2
TheMathNoob said:

Homework Statement


I have the following matrices
0 1
1 0

0 2
3 0

0 8
7 0
As you can see, the only thing that changes in the matrices are their non-zero entries. How can you relate those matrices by using a simple word or definition?. I need it for a mathematical proof that I am doing.

Homework Equations

The Attempt at a Solution

Have you tried looking at how you'd write them as a linear combination of the vectors? You can relate all three by weighting the vectors..
 
  • #3
The first one is a simple reflection. The others idem but 'followed' by a stretch in x and y directions
 
  • #4

FAQ: What would be the best word to describe this behavior?

What is the definition of behavior?

Behavior refers to the actions, reactions, or responses of an organism or system in relation to its environment or surroundings.

How can behavior be described?

Behavior can be described using words or phrases that accurately convey the actions or reactions of an organism or system.

What factors should be considered when choosing a word to describe behavior?

The context in which the behavior occurs, the emotions or intentions behind the behavior, and the impact of the behavior on others are all important factors to consider when choosing a word to describe behavior.

Is there a single "best" word to describe behavior?

No, there is not a single "best" word to describe behavior. Different words may be more appropriate depending on the specific behavior and its context.

Can behavior be accurately described using only one word?

In some cases, yes, behavior can be accurately described using only one word. However, in more complex situations, it may be necessary to use multiple words or phrases to fully describe behavior.

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