Analogues of a Theorem of Schur on Matrix Transformations
Abstract
Let A and B be matrices of sizes m by t and t by n, respectively, with elements in a field F. Let x(l), ..., x(t) denote t independent indeterminates over F and define X = diag(x(l), ..., x(t)). Then AXB = Y is a matrix of size m by n such that every element of Y is a linear form in x(l), ... , x(t) over F. The present paper investigates the converse proposition.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1971
- Accession Number
- AD0736978
Entities
People
- H. J. Ryser
Organizations
- California Institute of Technology