Question: Let & be the line 2y = r in R . Let r be the linear map that orthogonally reflects a vector over L. To

Let & be the line 2y = r in R . Let r be the linear map that orthogonally reflects a vector over L. To be clear, this means that the line segment from r to r(x) meets & at a right angle, and x is as far on one side of L as r(r) is on the other side: X r ( x ) (a) (4 points) Compute the matrix R of this reflection. (b) (8 points) Is the matrix R invertible or not? Justify your answer to this

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