MHB Im assuming a factorization problem?

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The discussion revolves around a problem involving finding the shortest path, with participants noting that the shortest path identified is 13. There is uncertainty about how to justify this path as the shortest, with suggestions that a "fuzzy" justification may suffice. Participants also discuss the relevance of obstacles in determining the path length, mentioning that without certain obstacles, the path could potentially be as short as 9. The conversation includes a reminder for users to show effort in their questions and to attach images directly to posts for clarity. The topic remains focused on understanding the shortest path and its justification.
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Hi Ilikebugs and welcome to MHB! :D

It is preferable that you attach images to your post instead of linking to an image site, which may be unreliable. I've attached the image you linked to.

Also, we ask that users show some effort when posting questions so we may best know how to help. Why do you think the problem may involve factoring?
 
Well I have to justify why the shortest path is the shortest one. I can't find any way to justify why. The shortest path I've found is 13.
 
Ilikebugs said:
Well I have to justify why the shortest path is the shortest one. I can't find any way to justify why. The shortest path I've found is 13.

Hi Ilikebugs! That's a nice problem! ;)

The shortest I've found is 13 as well and I have no "hard" justification.
Perhaps only a "fuzzy" justification is needed?
Such as that it's the shortest path the goes between the King's Lake and the King's Forest.
And we might mention that without those 2 obstacles, we could get to 9.
Btw, what makes you think it's a factorization problem?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
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