Dependent or Inconsistent Linear Systems Determine whether the system of linear equations is inconsistent or dependent. If it is dependent, find the complete solution.
Whether the system of equations is inconsistent or dependent. If dependent, write the complete solution.
If the system of linear equations is not inconsistent and all the variable in the row-echelon form are not leading variables, then it has infinitely many solutions, and the system is called dependent.
If the row echelon form contains a row that represents the equation , then the system has no solution.
If the system of linear equations has no solutions, then it is inconsistent.
Consider the system of equations .
The augmented matrix is .
Transform the augmented matrix into row echelon form.
Perform the transformation .
Perform the transformation
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