Trevor basket ball scores are represented by system of equations.
\Let represented by no of free throws,
- point field goals and
- point field goals.
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.
Cofactor of is
Cofactor of
.
Find .
.
The inverse of the is
.
Rewrite the equation.
\Find .
.
Trevor scores free of throws ,
- point field goals
and
- point field goals
.
Trevor scores free of throws , - point field goals
and
- point field goals
.