The graph shown below goes through points at and
.
The equation of the graph is of the form
Substitute the points in .
At point .
.
At point .
.
At point .
.
At point .
The system of equations are
\ \ \
Write the equations into matrix form ,
Where is coefficient matrix,
is variable matrix and
is constant matrix. \ \
Definition of inverse matrix :
\If is an
then
, where
.
Let , then
.
, then
has an inverse.
Where
\Cofactor of is
Cofactor of
.
Find .
.
The inverse of the is
Multiply by
to solve the system.
is
.
,
and
.
Caluculate the determinant of matrix .
Because of the determinant of is zero so,There is no unique solution.The system may have no solution.
No unique solution.