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Let α=x1,x2,x3,x4 be a basis for a four dimensional vector space V, and let T:V→V be...

Let α=x1,x2,x3,x4 be a basis for a four dimensional vector space V, and let T:V→V be the linear transformation defined by Txj=x5−j, for j=1,2,3,4 . Is [T]αα similar to a diagonal matrix? Why or why not?

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