1. Solving Systems by Using Matrices
Technology
4.4
Solving Systems by Using Matrices
Solve. x = 2y = 11
2x – 3y =1
Note: The TI-83 Plus requires the following keystrokes. The TI-83 does
not require the key to enter the menu.
2nd
MATRX
The augmented matrix is 1 2 11 . 2 -3 1
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2. Solving Systems by Using Matrices
Technology
4.4
Solving Systems by Using Matrices
Solve. x = 2y = 11
2x – 3y =1
Figure 4.2a
For Figure 4.2a,
EDIT
MATRX
Choose a name for the matrix from under the menu.
We will choose 1 for [A].
Enter the dimensions of the matrix. We will enter 2 × 3.
Enter the elements of the matrix.
2nd
MATRX ► ► 1 2
ENTER 3
ENTER 1
ENTER 2
ENTER 1 1
ENTER 2
ENTER
(-) 3
ENTER 1
ENTER
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3. Solving Systems by Using Matrices
Technology
4.4
Solving Systems by Using Matrices
Solve. x = 2y = 11
2x – 3y =1
For Figure 4.2b,
Figure 4.2b
Quit the menu.
Calculate the reduced row echelon matrix by choosing B for rref from
under the menu.
2nd
QUIT
MATH
MATRX
2nd
MATRX ►
ALPHA B
2nd
MATRX 1 )
ENTER
The solution of the system is (5, 3), as shown in Figure 4.2b.
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