If a matrix is singular...?

S

Sammy

New member
Then the determinant = 0
Does this mean that there is no solution, or that there are infinitely many solutions?

Thanks in advance :)
 
It depends: It may mean either
depending on the system of equations.
For example:
x + 2y = 3
2x + 4y = 8
is inconsistent and has no solutions.
But if the system is
x + 2y = 3
2x + 4y = 6
then the system is redundant
and there are infinitely many solutions.
Note that the system matrix is singular
in each case.
 
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