Question: 3. [10 marks] Consider a system whose state is described by a vector y, and evolves according to the law yt+1 = Ayt, where 0.8

3. [10 marks] Consider a system whose state is described by a vector y, and evolves according to the law yt+1 = Ayt, where 0.8 -0.2 A = 1.6 0.3 Given an initial state yo, will y approach infinity (i.e. (y| -> co)? Will y, converge to zero? Explain whether your answer depends on yo. 4. Let Vi and V/2 be vector subspaces of R", and Vi C V2. (a) [5 marks] Show that dimV,

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