Topic: Row reduction


Solve the system of equations using an augmented matrix and row reduction operations.

equations

First we create the augment matrix for this system and enter it into [A] in the TI83/84 calculator. The augmented matrix is:

matrix

From the home screen, re-enter the matrix menu . RIGHT ARROW once to MATH. ARROW DOWN to B:rref, then press ENTER.

TI84 screen TI84 screen
TI84 screen  

Re-enter the matrix menu and select 1:[A], then press ENTER. Press ) and then press ENTER. The results of the row operations is displayed.

TI84 screen TI84 screen
TI84 screen

Thus, we have x = 0.25, y = 1.125 and z = 1.5.



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