Each of the following linear transformations T is diagonalizable. For each transformation, determine an eigenbasis B and the (diagonal) B-matrix of T using geometric reasoning (i.e., without determining the standard matrix of T first). (a) T: R² → R² reflection across the line y = -4x. (b) T: R² → R² projection onto the line y = 2x. (c) T: R³ → R³ reflection across the plane x + y + z = 0.

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