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This problem also investigates the solution of a system of linear equations. However, in this problem one coefficient within the system of equations is a variable. Using the augmented matrix of the system we determine for what values of this unknown the system has a solution (i.e. it's consistent), and for what values it does not (i.e. the system of equations is inconsistent).
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Linear Algebra Example Problems - Augmented Matrix Of A Consistent Linear System | NatokHD