If A is the matrix [(1,-3),(-1,1)], then...

If A is the matrix `[(1,-3),(-1,1)]`, then `A-(1)/(3)A^(2)+(1)/(9)A^(3)……….. +(-(1)/(3))^(n)A^(n+1)+ ……… oo=(3)/(13)[(1,a), (b,1)]`. Find `|(a)/(b)|`.

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