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Matrix of the linear transformation

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Reference no: EM131428234

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

Reference no: EM131428234

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