You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:


Log in to your personal account or through your institution.

Teaching Tip: When a Matrix and Its Inverse Are Stochastic

J. Ding and N. H. Rhee
The College Mathematics Journal
Vol. 44, No. 2 (March 2013), pp. 108-109
DOI: 10.4169/college.math.j.44.2.108
Stable URL:
Page Count: 2
  • Download ($16.00)
  • Cite this Item
Item Type
Preview not available
Preview not available


Summary 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.

Page Thumbnails