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Linear systems and echelon matrices
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The echelon form can be used to determine if a linear system is consistent.
Example of using the echelon form to determine if a linear system is consistent.
The number of pivots in the reduced row echelon form of a consistent system determines whether there is one or infinitely many solutions.
The number of pivots in the reduced row echelon form of a consistent system determines the number of free variables in the solution set.
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Linear systems and echelon matrices
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The number of pivots in the reduced row echelon form of a consistent system determines the number of free variables in the solution set.
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