reduced row echelon form matrices and the calculator
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Reduced Row EchelonForm
Matrices and the Calculator
Matrix Solution of Systems by Calculator
Write the system of equations as an augmented matrix
5 7 9
3 11 6
x y
x y
2 3
5 7 9
3 11 6
EDIT
Input data
Menu 1
Matrix Solution of Systems by Calculator
Menu B:rref(
So the solution to
5 7 9
3 11 6
57 3is , .
34 34
x y
x y
Menu 1
Menu 1
Example Solve the system:
2 4 3
4 5
6 2 10
x y z
x z
x y z
Solution In solving systems of equations, we perform computations with the constants. The variables play no important role until the end, so why not use an augmented matrix.
Augmented Matrix
3 4 matrix
rref
The solution to this system is (3, 7, -1/2).
2 1 4 3
1 0 4 5
6 1 2 10
2 1 4 3
1 0 4 5
6 1 2 10
1 0 0 3
0 1 0 7
10 0 1 2
2 4 3
4 5
6 2 10
x y z
x z
x y z
Standard Form
Examples Use matrices and your calculator to solve the system.
2 8
1
2 2
x y z
x y z
x y z
2 8 2 4
6 3 4
3 2 0
x y z
x y z
x y z
2.12 1.18 12.76 7.49
0.17 6.52 3.09 11.34
3.06 2.89 0.81
x y z
x y z
x y z