What would be the best word to describe this behavior?

[TheMathNoob]

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

 

[Student100]

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..

 

[BvU]

The first one is a simple reflection. The others idem but 'followed' by a stretch in x and y directions

 

[WWGD]

Anti-diagonal matrices? https://en.wikipedia.org/wiki/Anti-diagonal_matrix
First one could also be a permutation matrix.