Step 1: Calculate A^2
Given A = [[a,b,c],[d,e,f],[g,h,i]], we have A^2 = A * A
A^2 = [[a,b,c],[d,e,f],[g,h,i]] * [[a,b,c],[d,e,f],[g,h,i]]
A^2 = [[a^2 + b*d + c*g, a*b + b*e + c*h, a*c + b*f + c*i],
[d*a + e*d + f*g, d*b + e*e + f*h, d*c + e*f + f*i],
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