Let T:R2→R2T: \mathbb{R}^2 \to \mathbb{R}^2T:R2→R2 be a linear transformation such that T(1,1)=(3,2)T(1, 1) = (3, 2)T(1,1)=(3,2) and T(1,−1)=(1,0)T(1, -1) = (1, 0)T(1,−1)=(1,0). Find T(1,0)T(1, 0)T(1,0).
(2,1)(2, 1)(2,1)
(4,2)(4, 2)(4,2)
(1,1)(1, 1)(1,1)
(2,2)(2, 2)(2,2)