Finding matrices from an inversive matrix

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Homework Help Overview

The discussion revolves around a homework problem related to finding matrices from an inversive matrix, specifically involving block matrices. Participants express uncertainty about the approach to take in solving the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss their understanding of block matrices and the process of calculating inverses. Some express confusion about the next steps after finding the inverse of a matrix, while others question the implications of multiplying block matrices together.

Discussion Status

The discussion is ongoing, with participants sharing their attempts to understand the problem and seeking clarification on their approaches. Some guidance has been offered regarding the multiplication of block matrices, but no consensus has been reached on a specific method to proceed.

Contextual Notes

Participants mention a desire for methods rather than direct answers, indicating a focus on understanding the problem rather than simply solving it. There is also a reference to external resources, such as videos, that have been consulted for additional clarity.

xtrmsound
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Moved from a technical math section, so missing the template
Hello all,

I'm trying to work on this problem for my homework, but I just can't seem to understand what to do.

I know how to calculate the inversive of a matrix but I just don't know how to approach this kind of a problem.

I was searching everywhere for some guidance on how to approach it, but I just don't understand how.

Please, I am not looking for the answer, I am just looking for the method on how to solve it.

I uploaded a picture with the question.

Thank you so much
 

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Do you not know how to handle block matrixes?
 
Well, I read about it and found a few youtube videos that helped me understand it much better, but still I don't know what to do.

I calculated the inverse of matrix A, but then I got stuck on what should I do.

Should I get the inverse of A just divide the matrix into block matrix and try to find a matrix that replaces the values?

Thanks
 
What happens if you multiply the two block matrices together? The product should be the identity matrix, right?
 

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