Finding a Transformation Matrix for Matching Signs in a Matrix

  • Thread starter Phong
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In summary, the individual is trying to calculate a matrix that transforms the signs of a source matrix to match those of a target matrix, but is unsure of the correct method. They have tried calculating the inverse of the target matrix and multiplying it with the source matrix, but are missing a step. They are seeking help and suggestions for the best approach.
  • #1
Phong
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Hi!

I have two sets of matrices where only the sign of each field might differ. I'm trying to calculate a generally applicable matrix that transforms the signs of the source matrix so it has the same signs like the target matrix. I tried calculating the inverse of the target matrix and multiply that with the source, but I'm missing a step. Maybe you guys can help!

Thanks a lot!


Nhat



TARGET
-1.05529 -0.707107 0.707107 0
-6.18172 -0.707107 -0.707107 0
1 -1.18331 -3.09086 0
-5 5.91657 -14.1421 1

SOURCE
1.05529 -0.707107 -0.707107 0
6.18172 -0.707107 0.707107 0
-1 -1.18331 -3.09086 0
-5 -5.91657 -14.1421 1
 
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  • #2
Seems odd to use matrix multiplication for this, when you can just flip the sign of the relevant entries. (The numbers make me think that this is for a computer program. It would be easier both for you and the program to work with the components directly). If you insist on using matrix multiplication, you would have to do something like this:
$$T=(TS^{-1})S$$
 

FAQ: Finding a Transformation Matrix for Matching Signs in a Matrix

What is a matrix in the context of converting signs?

A matrix is a mathematical representation of a set of data organized in rows and columns. In the context of converting signs, a matrix is used to represent a set of signs and their corresponding meanings.

How does converting signs in a matrix work?

Converting signs in a matrix involves assigning each sign a numerical value and organizing them in a matrix format. This allows for easy comparison and analysis of the signs and their meanings.

What are the benefits of using a matrix for converting signs?

Using a matrix for converting signs allows for a visual representation of the signs and their meanings, making it easier to identify patterns and relationships between the signs. It also provides a standardized method for converting signs, ensuring consistency and accuracy in the analysis.

Can a matrix be used for all types of signs?

Yes, a matrix can be used for all types of signs, including symbols, gestures, and words. As long as each sign can be assigned a numerical value, it can be included in the matrix for analysis.

Are there any limitations to using a matrix for converting signs?

One limitation of using a matrix for converting signs is that it relies on the accuracy and consistency of assigning numerical values to the signs. It also may not account for the cultural or contextual differences in the meanings of signs.

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