00:01
Hello everyone, in the a part, x minus y minus z is equal to 0.
00:08
So, x is equals to y plus z.
00:11
So we can write x, y, z mattress is equal to y plus z, y and z.
00:22
So this is equal to y, y, 0 plus z, so we can say that.
00:34
That 110 multiplied by y plus 1 .01 multiplied by z.
00:44
So the basis of solution space is 110 and 1 .01.
00:57
So this is u1 and this is u2.
01:04
This is v1 and this is v2.
01:12
By mod v1 which is here we know that mod v1 is equal to under root 1 square plus 1 square plus 0 square which is root 2 so we'll get v1 is equal to 1 divided by root 2 multiplied by 110 so this will be v1 is equal to 1 divided by root 2 1 divided by root 2 and 0 now s 1 1 is equals to v1 minus v2 minus v1 multiplied by v1.
01:55
So s1 is equal to 1 01 minus 1 multiplied by 1 divided by root 2 plus 0 multiplied by 1 divided by root 2 plus 1 multiplied by 0 multiplied by 0 and 0.
02:17
So if we solve this, we'll get s1 is equal to 1 .01 minus 1 divided by root 2 multiplied by 1 divided by root 2, 1 divided by root 2 and 0...