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The characteristic polynomial of a matrix with prescribed off-diagonal blocks

✍ Scribed by M.GraÇa Marques; Fernando C. Silva

Book ID
107826779
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
462 KB
Volume
250
Category
Article
ISSN
0024-3795

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The number of invariant polynomials of a
The number of invariant polynomials of a matrix with prescribed off-diagonal blocks
✍ Maria da Graça Marques 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 323 KB

Let A be an n × n matrix over an arbitrary field F of the form AI, 1 AI, z] A = A2.1 A2,2 J, where A1, 1 ~ F p×p, A2. 2 ~ F q×q, and p + q = n. We characterize the possible nmnber of nontrivial invariant polynomials of A, when the submatrices A L 2 and A2, 1 are prescribed.