11.3 Systems of Linear Equations: Matrices
EXAMPLE 6 Solving a System of Linear Equations Using Matrices
− + =
x y z
+
− = −
Solve:
2
x
3
y z
−
−
3
x
2
y
9
Graphing Solution
The augmented matrix of the system is
To enter this matrix into the TI-83, press the MATRX button.
On the TI83+, the
MATRX button is
nd
a 2
Function.
( )
8
1
( )
2
2
( )
=
z
9
3
−
1
2
−
3
1
1
8
−
−
3
1
2
−
2
9 9
w