On the Sum of Strictly k-zero Matrices
Let k be an integer such that k ≥ 2. An n-by-n matrix A is said to be strictly k-zero if Ak = 0 and Am ≠ 0 for all positive integers m with m < k. Suppose A is an n-by-n matrix over a field with at least three elements. We show that, if A is a nonscalar matrix with zero trace, then (i) A is a sum...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of the Philippines
2017-06-01
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| Series: | Science Diliman |
| Subjects: | |
| Online Access: | http://www.journals.upd.edu.ph/index.php/sciencediliman/article/view/5637 |