Bob
]]>How would you do an iinductive proof here?
]]>Bob
]]>If A and B are 2 x 2 matrices having the property, the AB has the property.
Bob
]]>Just proved it is true for all 2 x 2 matrices (algebraically). Don't think I can generalise that method of proof though.
Bob
]]>I am not sure about the term row sum. If you mean that each row sums to 1 then the matrix is called stochastic and is used in Markov processes. Every integer power of that matrix will also be stochastic meaning the rows sum to 1. So, I would say yes.
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