00:01
I here for the given question we are given two equations.
00:05
The equation says that here we have 4x plus 12y minus 7z minus 20 is equal to 20.
00:15
Let this be our equation number one.
00:17
Another equation is 3x plus 9y minus 5z minus 28 times w.
00:26
This is w equals to 36.
00:31
Let this be equation number two.
00:34
We need to solve the value of x, y, z and w.
00:38
Now here we are using gauss jordan elimination method.
00:42
So here we know that this can be written in argumented matrix as 4, 12, minus 7, minus 20.
00:49
Here we have 20, 3, 9, minus 5, minus 28 and here we have 36.
00:57
Now here we need to perform the row operation.
00:59
So if we multiply, if we divide r1 with 4 and then we add in r1 back, then here our equation can be written as 1, 3, minus 7 by 4, minus 5.
01:12
Here we have 5.
01:13
Last will be seen 3, 9, minus 5, minus 28 and 36.
01:19
Now here we'll perform the another row operation, which is r2 multiplied with 3 times of r1, then adding back to r2.
01:29
So here it will be in the reduced form as 1, 0, 3, 0, minus 7 by 4, 1 by 4, minus 5, minus 13.
01:44
Here we have 5 and 21.
01:46
Now here we perform another row operation as we divide r2 with 1 by 4 and then we add back to r2...
