Orthogonal and symmetric maps: Orthogonal maps
Orthogonal transformation matrices: Step 1/2
Suppose that the linear map #S:\mathbb{R}^3\to\mathbb{R}^3# is the orthogonal reflection about the plane given by #2 x +2 y + z = 0#.
Determine the images under #S# of the three vectors given below.
Determine the images under #S# of the three vectors given below.
#S(\rv{2,2,1}) = # |
#S(\rv{-2,2,0}) = # |
#S(\rv{0,1,-2}) = # |
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