00:01
In this question we have given linear systems which are 6x -4y -7z -3, 2x -22y -kz -4, and the third one is 8x -5y -3z -9.
00:32
Now which we can write as 6, 2, 8, 4, 22, 5, 7, k, c, x, y, z.
01:07
Okay, this can be written as this in the matrix form.
01:12
Now we know system ax is equal to b is consistent, rank a by b is equal to rank a.
01:41
Okay, now we further solve this.
01:47
Now a slash b is equal to 6 -2 -8 -4 -22 -5, this is plus 2, and this 7, k -3.
02:10
Okay, this and there is b, 3 -4 and minus 9.
02:18
Now using transformation we can write r1, this is r1, this r2, and this is r3.
02:28
Okay, this side.
02:31
We use r1 by 6, r1 which come out to be 1, 2, minus 8, minus 2 by 3, 7 by 6, minus 22, k, minus 5, minus 3, and this is half, minus 4, and minus 9.
03:00
Now again using transformation r2 minus 2 r1, in r2 and this transformation we use is r3 plus 8 r1, which is r3...