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Consider the plane 2x1 3x2 + x3 = 0 in R 3 . a) [4] Determine the matrix representation of reflection through the plane. b) [2] Use your result to...

Consider the plane 2x1 − 3x2 + x3 = 0 in R 3 . a) [4] Determine the matrix representation of reflection through the plane. b) [2] Use your result to calculate the reflection of the point p = [1 1 1]T. Explain the result.

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