The discussion revolves around the relationship between specific matrices that share a pattern in their non-zero entries. Participants are exploring how to define or describe these matrices in a concise manner for use in a mathematical proof.
Several lines of reasoning are being explored, including the geometric interpretation of the matrices and their potential classification. Guidance has been offered regarding linear combinations, but no consensus has been reached on a single term or definition.
The original poster indicates that the definitions are needed for a mathematical proof, implying constraints on the terminology that can be used.
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..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