00:01
Hi, in this question we are given with the set of equation as minus 8x minus 8y minus 5z is equals to minus 6.
00:11
Then we have 7x minus 8y minus 9z is equal to 17.
00:17
And then we have 9x plus 2y plus 6z is equals to minus 9.
00:24
And we need to check the solution for this.
00:27
As we can first write it in the matrix form as minus 8 minus 8 minus 5 7 minus 8 minus 9 9 2 6 and here we have minus 6 17 and minus 1.
00:46
Now here we will apply the gauss elimination method according to which we will first use the result for multiplying the first equation by 7 by 8 and add the result to the second equation.
01:02
So we can change rho 2 as r 2 plus 7 by 8 times r 1.
01:09
Hence we get the final result as minus 8 minus 8 minus 5.
01:14
Here we get 0 minus 15 minus 107 by 8 9 2 6 and here we get minus 6 47 by 4 and minus 1.
01:30
Next we will apply the operation as multiplying the equation 1 with 9 by 8 and add the result to the third equation.
01:42
So we get the result as minus 8 minus 8 minus 5 0 minus 15 minus 107 by 8 and here we get 0 minus 7 here we get 3 by 8 and on the right side we would be having minus 6 47 by 4 and here we will be having minus 31 by 4.
02:11
Next we will do the operation as to get rid of the friction we will multiply the second and third row by 8.
02:21
So we get the final result as minus 8 minus 8 minus 5.
02:31
Here we will get 0 minus 120 minus 107 0 minus 56 3 and on the right side we would be having minus 6 94 minus 62.
02:48
Next we will multiply the second row with minus 7 by 15 and add the result to the third row to get the changes in third...