5. Let A e M, be nonnegative and irreducible. Show that A is primitive if at...

 

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5. Let A e M, be nonnegative and irreducible. Show that A is primitive if at least one main diagonal entry is positive. Show that this sufficient condition is necessary for n = 2 but not for n ≥ 3. 5. Let A e M, be nonnegative and irreducible. Show that A is primitive if at least one main diagonal entry is positive. Show that this sufficient condition is necessary for n = 2 but not for n ≥ 3.

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First recall the following result that gives an equivalent condition for primitive matrices Theorem 1 Let A M be nonnegative Then is a primitive matri... View the full answer