Can someone help me with the following problem. I'm not getting this at all. Determine whether the function is a linear transformation: ->
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Originally Posted by larson Can someone help me with the following problem. I'm not getting this at all. Determine whether the function is a linear transformation: -> it's not because
Originally Posted by NonCommAlg it's not because Could you by any chance show this further by using the two rules of linear transformations, which are: 1. T(u + v) = T(u) + T(v) 2. T(cu) = cT(u) I appreciate what you gave me so far though. Larson
Originally Posted by larson Could you by any chance show this further by using the two rules of linear transformations, which are: 1. T(u + v) = T(u) + T(v) 2. T(cu) = cT(u) I appreciate what you gave me so far though. Larson By rule #2 if you let c=0 then you get . Thus, every linear transformation must satisfy this property. But it does not.
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