Column vectors are written as rows, such as x (x, x), and T (x) is written as T(x, x) Let T R R be the transformation that projects each vector X (X, X 2 , X 3 ) onto the plane x 0, so T(x) (x 1 , 0, x 3 ) Show that T is a linear transformation

Question: Column vectors are written as rows, such as x = (x, x), and T (x) is written as T(x, x). Let T: R R

Column vectors are written as rows, such as x = (x₁, x₂), and T (x) is written as T(x₁, x₂).

Let T: R³ → R³ be the transformation that projects each vector X = (X₁, X₂, X₃) onto the plane x₂ = 0, so T(x) = (x₁, 0, x₃). Show that T is a linear transformation.

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