So I managed to complete 2a), find the 2 by 2 matrix (2 1, 2 3), then prove that it maps y+x=0 onto itself. However I can't work out the other line
Any help would be greatly appreciated
Turn on thread page Beta
Awkward Matrices Homework watch
- Thread Starter
- 23-03-2016 22:28
- 23-03-2016 22:46
So for the first part you are showing that the line y=-x gets mapped to y=-x
So we have .
So just show that X+Y=0 and you will have shown that the line x+y=0 is invariant under T.
So did invariant lines under T we have to do
What this is basically saying is that any invariant line with equation y=mx+c Is transformed to Y=mX+c (the same equation). So now using this you have to try and find the equation of the line that under T is mapped to itself.
So all you need to do is do what you did when you shown that x+y=0 is invariant under T but this time we are doing it for a general line with gradient m and passing through (0,c).