Solving Systems by Using Matrices

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Presentation transcript:

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 1 of 3

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 2 of 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. 3 of 3