00:01
Hello, so here we have the transformation, which is going to be t of a plus b, b, t, plus c, t squared is going to be equal to a plus 2bt, plus 4ct squared from p2 to p2.
00:25
So the two conditions for the check, if we're linear, are going to hold here.
00:30
We have that t of f of t plus g of t is equal to t of f of t plus t of g of t.
00:37
And for scalar k, we get that t of k times f of t is equal to k t, or k times t of f of t.
00:52
And in both cases, that's going to be equal to k a for a constant, for a scalar k, we get ka plus 2kbt plus 4kct squared.
01:09
So both conditions are going to hone, and therefore, yes, we are going to be a linear transformation...