nForum - Discussion Feed (Incidence matrix)2024-03-29T01:47:42+00:00https://nforum.ncatlab.org/
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Murat_Aygen comments on "Incidence matrix" (67237)https://nforum.ncatlab.org/discussion/8287/?Focus=67237#Comment_672372018-02-14T13:45:26+00:002024-03-29T01:47:42+00:00Murat_Aygenhttps://nforum.ncatlab.org/account/1558/
If one solves
b1⟨a1⟩+…+bm⟨am⟩=δ[∑∑xi,j⟨ai,aj⟩]
for x’s when b’s are given, one ends up with
ηx→=b→
where \eta is the INCIDENCE MATRIX! Then all proofs about 0-homology ...
If one solves
for x’s when b’s are given, one ends up with
where \eta is the INCIDENCE MATRIX! Then all proofs about 0-homology groups are just about the ranks of square-submatrices of this matrix. Am I right?