Let S : R R be the following function: S: We wish to prove that S...

  

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Let S : R³ R³ be the following function: S: We wish to prove that S is not a linear transformation. Fill in the coordinates for two arbitrary vectors ,ÿ R³ to show that S ( +y) ✈ S(z) + S(y). (Z) = 2₁ I₂ 4 23 S(+7) z+y= 48-8 S(y) = These should not be equal: I 1 I 2 A S(F) + S(T) Activ Go to Let S : R³ R³ be the following function: S: We wish to prove that S is not a linear transformation. Fill in the coordinates for two arbitrary vectors ,ÿ R³ to show that S ( +y) ✈ S(z) + S(y). (Z) = 2₁ I₂ 4 23 S(+7) z+y= 48-8 S(y) = These should not be equal: I 1 I 2 A S(F) + S(T) Activ Go to

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To prove that a given function S is not a linear transformation we must find at least one counterexample where the function does not satisfy the prope... View the full answer