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Questions  

Let α be a root of the equation x2+x+1=0 and the matrix  A=131111αα21α2α4 then the matrix A31 is equal to 

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a
A
b
A2
c
A3
d
I

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detailed solution

Correct option is C

x2+x+1=0    α=ωorω2

A=131111ωω21ω2ωA2=100001010A4=I

A31=A28.A3=IA3=A3

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