- #1
Fellowroot
- 92
- 0
Homework Statement
Let T:R->R^2 be the linear transformation that maps the point (1,2) to (2,3) and the point (-1,2) to (2,-3). Then T maps the point (2,1) to ...
Homework Equations
T(xa+yb) = xT(a)+yT(b)
The Attempt at a Solution
Okay so I have the solution to this problem, but its understanding some multiplication that's getting me.
They get x=5/4 and y = -3/4
and they do the following
T(c) = xT(a) +yT(b)
T(21)=(5/4)T(12)-(3/4)T(-12)
(5/4)(23)-(3/4)(2-3)
(16)
I just need someone to explain to me how they got the 1 and 6 at the end.