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T41(Robert Beezer) Consider the system of linear equations LS(A,b), and suppose that every element of the...

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T41(Robert Beezer) Consider the system of linear equationsLS(A,b), and suppose that every element of the vector of constantsb is a common multiple of the corresponding element of a certaincolumn of A.More precisely, there is a complex numberα, and acolumn index j, such that [b]i=α[A]ij for alli. Prove that the system is consistent.

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