SYSTEMS OF EQUATIONS Gauss-Jordan Reduction (Page 7 of 7)

Now use the rref command to transform the augmented matrix into reduced row-echelon form. We have added the Frac command to see the resulting matrix with fractions rather than decimals. Use the left and right arrow keys to scroll though the result.

 2nd QUIT key. CLEAR key. MATRX key. [MATH] Up arrow key. B: menu selection.
 MATRX key. 1: menu selection. Right parenthesis key. MATH key. 1: menu selection. ENTER key.

 Right arrow key.... Left arrow key....

 Calculator screen image. Calculator screen image.

By looking at the reduced row-echelon form of the augmented matrix, we can see that this system of equations will have an infinite number of solutions. The general solution, which must be solved for by hand, is {((9/19)z+5/19, (31/19)z-6/19, z): z is a real number}.
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