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princess snowwhite

Member

Registered: 2012-11-06

Posts: 29

another LT probleem

let v1 and v2 be non zero vectors in R^n , n>=3, such that v2 is not a scalar multiple of v1, prove that there exists a linear transformation T:R^n-->R^n such that T^3=T, Tv1=v2 and T has at least three distinct eigen values