Question: Suppose b is an n-vector with nonzero elements (b; # 0 for all ?) and A is a diagonal n x n-matrix with distinct diagonal

Suppose b is an n-vector with nonzero elements (b; # 0 for all ?) and A is a diagonal n x n-matrix with distinct diagonal elements (Aji * Ajj for i # j). Prove that the n x n matrix C= [b Ab A2b ... An-1b ] is nonsingular

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