A linear transformation TTT of the plane moves the two basis vectors to these landing spots:
ı^=(1,0) ⟶ (3,−1),ȷ^=(0,1) ⟶ (2,4)\hat{\imath} = (1, 0) \;\longrightarrow\; (3, -1), \qquad \hat{\jmath} = (0, 1) \;\longrightarrow\; (2, 4)^=(1,0)⟶(3,−1),^=(0,1)⟶(2,4)
Nothing else about TTT is given. Where does TTT send the vector (−2,5)(-2, 5)(−2,5)?
Select all that apply.
(4,22)(4, 22)(4,22)
(−11,16)(-11, 16)(−11,16)
(16,18)(16, 18)(16,18)
(11,−13)(11, -13)(11,−13)