Question: Consider the system of linear equations LS(A, b), and suppose that every element of the vector of constants b is a common multiple of the

Consider the system of linear equations LS(A, b), and suppose that every element of the vector of constants b is a common multiple of the corresponding element of a certain column of A. More precisely, there is a complex number and a column index j, such that [b]i = α [A]ij for all i. Prove that the system is consistent.

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