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Let l be the line in r2nbspwith equation y2x let a be the

Let L be the line in R² with equation y=2x. Let A be the matrix of the linear transformation T from R²to R² defined by T(x)=proj_L(x).

1. Find A.

2. Explaine geometrically why we know that A(2 4)= (2 4)

3. Find all solutions to Ax=0. Interpret your answer geometrically by making a sket ch that includes the line L and all solutions to Ax=0, and explain what is going on.

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