QUESTION

Let 𝑇 ∶ ℝ3 →ℝ3 be the transformation that reflects each vector x = (𝑥1,𝑥2,𝑥3) through the plane 𝑥3 = 0 onto T (x) = (𝑥1,𝑥2,−𝑥3). Show that T is a linear transformation.

Please solve and explain each step please. Show work aswell

Public Answer

BWFYLC The First Answerer