00:01
Hi, now we are going to solve the system of linear equations.
00:04
The given equations are minus 8x minus 3y minus 3 z is equal to minus 39 and the second equation is 4x plus 7y plus 3z is equal to 23.
00:24
And the third equation is minus 8x minus 4y plus 5y plus 3.
00:33
3 z is equal to minus 2.
00:36
Now i am going to write this in matrix form then it will be equivalent to minus 8 minus 3 minus 39 4 7 3 23 minus 8 minus 4 3 minus 2.
01:02
Now we are going to convert this into row echolent form for that first i'm going to 2 r1 is equal to minus r1 divide by 8 then the matrix is equivalent to 1 3 divide by 8 3 divide by 8 39 divide by 8 4 7 7 3 and next i am going to do r2 is equal to r2 minus 4 times r1 and r3 is equal to r3 plus 8 times r1.
01:57
Then the matrix is equivalent to 1, 3 divide by 8, 3 divide by 8, 39 divide by 8, 0, 1, 3 divide by 11, 7 divide by 11, 0, 7, 7, 7, 6, 37.
02:25
And next i am going to do r1 is equal to r1 minus 3 times r2 divide by 8 and r3 is equal to r3 minus 7 times r2.
02:49
Then the matrix is equivalent to 1 ,0, 3 divide by 11, 51, 51 divide by 11, 51 divide by 11.
03:00
0 1, 3 divide by 11, 7 divide by 11, 0 ,0 45 divide by 11, 35 divide by 11, and next r3 is equal to 11 1 times r 3 divide by 45.
03:32
Then the matrix is equivalent to 1 .0.
03:39
3 divide by 11.
03:41
51 divide by 11.
03:44
0 .1...