Solutions to systems of equations: consistent vs. inconsistent
5:29
Khan AcademySal Khan,Monterey Institute for Technology and Education
Solutions to systems of equations: consistent vs. inconsistent
A consistent system of equations has at least one solution, and an inconsistent system has no solution. Watch an example of analyzing a system to see if it's consistent or inconsistent.
Mar 16, 2011
Consistent and Inconsistent Equations Examples
SOLVED: How is a system determined as consistent?0A Solve for the variables after setting the equations equal to 0. A system is consistent if there are no solutions A system is consistent only if all of the variables equal each otherD. A system is consistent if there iS one solution or infinitely many solutions.Row reduce the augmented matrix t0 its reduced echelon form10 10The system isfor all values of a and y. So it can be stated thatin Span U,v for all values of a and y.
SOLVED: How is a system determined as consistent?0A Solve for the variables after setting the equations equal to 0. A system is consistent if there are no solutions A system is consistent only if all of the variables equal each otherD. A system is consistent if there iS one solution or infinitely many solutions.Row reduce the augmented matrix t0 its reduced echelon form10 10The system isfor all values of a and y. So it can be stated thatin Span U,v for all values of a and y.
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