00:01
So here for question 2a, we have the matrix 1, negative 1, 0, 1, 0, 0, which is augmented with 7, 3, 0.
00:15
So this then means that x minus y is 7, y is 3, and 0 is equal to 0.
00:27
Well, all of those make sense, and this has a unique solution.
00:32
If i add these two together, i get, let's see here, x minus y plus y, which is just x, is equal to 10.
00:45
And y is equal to 3, so this is consistent because it has a solution.
00:51
And the solution is unique.
00:54
And that is then x is 10 and y is 3 and then for b we have 1 2 0 1 0 0 4 2 negative 1 which means that x plus 2 y is 4 y is 2 and 0 is equal to negative 1 well of course that makes no sense so so this is inconsistent because it's nonsensical.
01:29
Inconsistent.
01:31
Which means then that there is no solution.
01:40
And then for 3, we have, let's see here.
01:55
The first one is 0, 1, 0, 0, 0, 1, 0, 0, 0...