00:01
Hello friends, in this question we are given with linear equation with three variables.
00:08
So, we are given equation that is minus 3x minus 7y plus 2z which is equal to minus 5 and minus 3x plus 8y minus 10z which is equal to 7 and the equation that is 3x plus y plus 4z which is equal to minus 7.
00:27
So, we can write in the matrix form minus 3 minus 7 2 minus 3 8 minus 10 3 1 4 which is multiplied with x y z and the values are minus 5 7 minus 7.
00:46
So, we can write this in augmented form which is minus 3 minus 7 2 minus 3 8 minus 10 3 1 4 and this values are minus 5 7 minus 7.
01:02
So, here r2 is manipulated by r2 minus r1 and r3 is manipulated by r1 plus r3.
01:18
So, then we get the value that is minus 3 minus 7 2 and this is minus 5.
01:25
So, we get in the value 0 and this is the value 15 minus 12 and 12.
01:31
Here we get the value that is 0 minus 6 6 and here it is minus 12.
01:41
Here the r2 is divided by 3 and r3 is divided by here this is r2 and this is r3 is divided by 6.
01:56
So, we get the value that is minus 3 minus 7 2 0 5 minus 4 0 minus 1 1 and here it is minus 5 4 and minus 2.
02:11
So, finally r3 can be written as r2 over 5 plus r3...