00:01
We want to prove that, so the e -r -fine transformation is t, for which t is defined as a following.
00:09
So t maps point r2, tx, is equal to the matrix multiplication on x.
00:23
So these negative 1, 2, negative 2, multiply with x.
00:27
And this map, we want to show that this transformation maps each point of the line y equal to x in r2 onto itself.
00:40
So, i mean, to check this, we know y equal to x is what in the r2 plan.
00:52
And y equal to x is this line.
00:56
This is y equal to x.
00:58
And any points on this line can be read in the form.
01:07
So this can be written in form t.
01:10
X is t, right is t for some real numbers, t in r.
01:15
So this is another way we kind of parametize this y equal to x.
01:21
You can write it as t and t for any real number t...