00:01
Hello students, to solve the system of equations using gauss jordan method, we will create an augmented matrix and perform row operation to obtain the row epsilon form and then reduce row epsilon form.
00:12
Let's start original system of equation that is 2x -y plus z equal to 3, x minus 3y plus z equal to 4, x minus 2z equal to minus 5.
00:25
So, first we will create a augmented matrix that is 2, minus 1, 1, 3, 1, minus 3, 1, 4, 1, 0, minus 2, minus 5.
00:38
Now, we will perform row operation to obtain row epsilon form.
00:42
So, we will first for row 2, row 2 equal to row 2 minus 1 by 2 r1 under row 3 equal to row 3 minus 1 by 2 row 1.
00:55
So, we will get something 2, minus 1, 1, 3, 0, minus 2, 0, 2, 0, 1, minus 2 .5, minus 6 .5.
01:11
Now, we will do row 3 equal to row 3 plus row 2.
01:18
So, we will get 2, minus 1, 1, 3, 0, minus 2, 0, 2.
01:26
We will get 0, 0, we will get 1 minus, we will get minus 1, minus 2 .5, 8 .5.
01:41
Now, we will do row 3 equal to minus 2 by 2 .5 into r3...