a12 A= a21 a22 be a 2 x 2 probability matrix. Prove that 2 = 1 is an eigenvalue for A, by direct computation. (Bonus: Prove that 2=1 is an eigenvalue for probability matrix Ae Mpxn-)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. Let
a11
a12
A=
a21 a22
1 is an eigenvalue for A, by direct computation.
be a 2 x 2 probability matrix. Prove that 2
(Bonus: Prove that 2=1 is an eigenvalue for probability matrix AE Mnxn-)
Transcribed Image Text:5. Let a11 a12 A= a21 a22 1 is an eigenvalue for A, by direct computation. be a 2 x 2 probability matrix. Prove that 2 (Bonus: Prove that 2=1 is an eigenvalue for probability matrix AE Mnxn-)
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