n2 on the line with C 73. Let Tw be the reHection of n3
Chapter , Problem 73(choose chapter or problem)
n2 on the line with C 73. Let Tw be the reHection of n3 about the plane IV in n3 with equation x + 2y - 3z = 0. and let Note that the first two vectors in 6 lie in W , and the third vector is perpendicular to IV. In general, we can apply a fact from geometry that the vector whose components are the oefficients of the equation of the plane ax +by + cz =d. is normal (perpendicular) to the plane. (a) Find Tw (v) for each ector v in 6 . (b) Show that B is a basis for n3. (c) Find [Tw ]G. (d) Find the standard matrix of Tw . (e) Determine an explicit formula for Tw
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