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ERIC Number: EJ1014572
Record Type: Journal
Publication Date: 2013-Mar
Pages: 2
Abstractor: As Provided
ISSN: ISSN-0746-8342
Teaching Tip: When a Matrix and Its Inverse Are Stochastic
Ding, J.; Rhee, N. H.
College Mathematics Journal, v44 n2 p108-109 Mar 2013
A stochastic matrix is a square matrix with nonnegative entries and row sums 1. The simplest example is a permutation matrix, whose rows permute the rows of an identity matrix. A permutation matrix and its inverse are both stochastic. We prove the converse, that is, if a matrix and its inverse are both stochastic, then it is a permutation matrix.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail:; Web site:
Publication Type: Reports - Descriptive; Journal Articles
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A