3D Demo with infinite number of solutions

In this section we will use the Gauss Jordon method on the system

( i ) x + 2y - 4z = 8

( ii ) -3x - 5y + 14z = -20

( iii ) 2x + 6y - 4z = 24

Here is the intial augmented matrix.

A graph of the three planes in the initial system.

Add to row 2 3 times row 1

The graph after the first row operation.

Add to row 3 -2 times row 1

After this operation we have the following graph.

Add to row 1 -2 times row 2

The graph now looks like this.

Add to row 3 -2 times row 2

The next graph is not really any different than the previous one.

The last graph but viewed from a different direction. Is it easier to see the intersection now? It should be a line.

Below is a movie showing the results of the row operations.