If A is an m x n matrix, with columns a1, a2, ...., an, and if b is in R^m, the ____________________ has the same solution set as the ___________, which in turn has the same solution set as the system of linear equations whose _________________________ is _____________.

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1. If A is an m x n matrix, with columns a1, a2, ...., an, and if b is in R^m, the ____________________ has the same solution set as the ___________, which in turn has the same solution set as the system of linear equations whose _________________________ is _____________.