a. Consider the vector v = . Is the transformationb.T(x) = v x (the dot product) from R

Chapter 2, Problem 43

(choose chapter or problem)

a. Consider the vector v = . Is the transformationb.T(x) = v x (the dot product) from R 3 to R linear? If so, find the matrix of T. Consider an arbitrary vector 5 in R 3. Is the transformation T(x) = v - x linear? If so, find the matrix of T (in terms of the components of 5). Conversely, consider a linear transformation T from R 3 to R. Show that there exists a vector v in R 3 such

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