Find the matrix of the linear transformation 𝑇:ℝ2→ℝ2 which reflects a vector into the line 𝑦=3𝑥.

Answer 1

T(e₁) = T(1 0) = (1 3); T(e₂) = T(0 1 ) = (0 0). So matrix A of this linear transformation A [(1 3) (0 0)]