Consider the shopping complex example with the three anchor stores, Paisley's, Sale Mart, and Quarterback's:

The analyst reports the competition for market share between Sale Mart and Quarterback's is tighter than the current market shares might seem to suggest.

Determine revised market shares for the three anchor stores at this shopping complex after an additional purchase by consumers loyals to one of these three retailers.

Revised market share for Paisley's after one transition or purchase:
Revised market share for Sale Mart after one transition or purchase:
Revised market share for Quarterback's after one transition or purchase:
COMMENT: If applying matrix operations, don't forget to transpose the transition matrix.  Report these market shares rounded to the nearest whole percentage if necessary, including a percent symbol.  However, use the more precise version for each market share in subsequent calculations.