00:01
Hello everyone so v5 can be written as in the linear combination of v1 v2 v3 v4 so v5 is a 1 v1 v1 plus a 2 v2 plus a 3 v 3 plus a 4 b 4 also 2 minus 1 3 3 minus 9 6 plus a 2 3 -3 -9 -6 plus a 3 -3 -1 -2 -4 plus a 4 plus a 4 -1 -1 -1 -1 now the matrix a -b is equal to 1 -3 -1 -2 then 4 3 -3 -1 1 1 1 1 1, then minus 12 minus 9, 2, 2, 2, 2, 3, then 8, 6, 4, 4, 1, 0.
01:18
Now give the row operation, r2 is r2 minus 4, r1, r3 is r3 plus 12 r1, r4 minus 8 r1.
01:34
Therefore the new ab will be 1 ,000, then 3 minus 9, 27, minus 18.
01:50
Here 3 minus 11, 38, minus 20, 1 minus 3, 14, 19, and here 2 minus 3, 14, 19, 16, and here 2 minus 9, 27, 16.
02:09
Okay, so this is after row operation we get this.
02:14
So now again give the row operation.
02:17
R3 is r3 plus 3 r2 and is r4 minus 2 r2.
02:24
So therefore the new row will be 1 -0 -0 -3 minus 9 -0 -0 -3 minus 11 -5 -2...