- #1
Anarchy6k2
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1. A = {[0.4 0 .2], [0.3 0.8 0.3], [0.3 0.2 0.5]}. The vector v1 = {[0.1], [0.6], [0.3]} is an eigenvector for A, and two eigenvalues are .5 and .2. Construct the solution of the Dynamical system x,k+1 = Ax,k that satisfies x,0 = (0, 0.3, 0.7)
My attempt
I tried to work this one out but I'm just lost as to where to begin, I think i have to start by finding all the eigenvalues and put them in a diagonal matrix and then put them in the equation: x,k = c1([tex]\lambda1[/tex])v1 + c2([tex]\lambda2[/tex])v2 Anyone got any ideas that could help me out?
My attempt
I tried to work this one out but I'm just lost as to where to begin, I think i have to start by finding all the eigenvalues and put them in a diagonal matrix and then put them in the equation: x,k = c1([tex]\lambda1[/tex])v1 + c2([tex]\lambda2[/tex])v2 Anyone got any ideas that could help me out?