The null space of spaces of singular matrices
โ Scribed by Beasley, Leroy B.
- Book ID
- 126514603
- Publisher
- Taylor and Francis Group
- Year
- 1985
- Tongue
- English
- Weight
- 228 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0308-1087
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this note, we study the null space structure ol' singular real symmetric matrices with undirected graph a tree. The main result is a relationship between the dimension of the nullspace of A, the zero-nonzero Pattern of the null vectors of A and the graph ol' A.
A matrix A is said to have signed null space provided there exists a set S of sign patterns such that the set of sign patterns of vectors in the null space of ร is S for each ร โ Q(A). It is a generalization of a number of important qualitative matrix classes such as L-matrices, S \* -matrices, tota
Let V be a linear space of even dimension n over a field F of characteristic 0. A subspace W โ โง 2 V is maximal singular if rank(w) โค n -1 for all w โ W and any W W โ โง 2 V contains a nonsingular matrix. It is shown that if W โ โง 2 V is a maximal singular subspace which is generated by decomposable