00:01
In this problem, we need to solve the set of given equations using the versatile method.
00:08
So, we are given x -y -3z is equal to 3 and 2x -y -4z is equal to 7.
00:18
3x -5y -2z is equal to 6.
00:24
We are given the value of x0, y0 at z0 which is equivalent to 0, 1 and minus 1 point.
00:40
So, in order to solve this problem, we use the gauss -theodal method.
00:51
So, let us consider the first equation which is x -y plus 3z equal to 3.
00:59
So, we could write this as equivalent to x equal to 3 plus y minus 3z.
01:06
Let this be equation.
01:09
Next, let us consider the equation 2x plus y plus 4z equivalent to 7.
01:16
Hence, we can write y is equivalent to 7 minus 2x minus 4.
01:23
Let this be equation.
01:25
Then, let us consider the equation 3x plus 5y minus 2z equal to 6.
01:37
Hence, we can write z equal to minus half of 6 minus 3x minus 5y.
01:47
Let this be considered as equation.
01:52
Now, for the first iteration, we are given the value of x0, y0 at z0 which is equivalent to 0, 1, minus 1 point.
02:04
So, let us perform the first iteration...