1. Math
  2. Advanced Math
  3. using the definition of the derivative prove the following...

Question: using the definition of the derivative prove the following...

Question details

Using the definition of the derivative, prove the following.

(i) Using row vectors to represent (Rm)*, if A e Mnxm (R) defines a func- tion g : Rn → (Rm) given by g(x) = XTA, then Dg : Rn → (Rm) is the linear transformation v vl A. (i) Using column vectors to represent (Rm)*, prove that the function g is given by g (x) = ATX and that Dg is the linear transformation v → ATV.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution