3. Consider the following stochastic matrix: and the dynamical system given by A = 1 0 .5 0 01 0 .5 0 0.5 0 0 0 0 .5 x(k+ 1) = Ax(k) (a) What are the steady state solutions of the system? Answer using set notation or as a span of vectors.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. Consider the following stochastic matrix:
and the dynamical system given by
A
-
1
0.5 0
01 0.5
0 0.5 0
0
.5
x(k+ 1) = Ax(k)
What are the steady state solutions of the system? Answer using set notation or as a
span of vectors.
Transcribed Image Text:3. Consider the following stochastic matrix: and the dynamical system given by A - 1 0.5 0 01 0.5 0 0.5 0 0 .5 x(k+ 1) = Ax(k) What are the steady state solutions of the system? Answer using set notation or as a span of vectors.
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