# Determine whether the statement is true or false.If the last row of the reduced row echelon form of an augmented matrix of a system of linear equation

Determine whether the statement is true or false. If the last row of the reduced row echelon form of an augmented matrix of a system of linear equations has only zero entries, then the system has infinitely many solutions.
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Faiza Fuller
False, the system could also have no solutions, for example if the row directly above the last row has all zeros except for in the last column.
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