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Let T: R 3 → R 3 be the transformation that projects each vector x (x123312

,x,x) onto the plan x=0 , so T(x) =(x,x,0) Show T is a linear transformation.

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Let T: R 3 R 3 be the transformation that projects each vector x (x 1 ,x 2 ,x 3 ) onto the plan x 3 =0 , so T(x) =(x 1 ,x 2 ,0) Show T is a linear...
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