SOLUTION: Suppose T is a linear transformation, with T ( u )= ⟨5,−1⟩, T(v)= ⟨−5,−2⟩. Find the following: T(u) = _____?_____(Enter vectors ⟨x,y⟩ using < x, y >)

Algebra ->  College  -> Linear Algebra -> SOLUTION: Suppose T is a linear transformation, with T ( u )= ⟨5,−1⟩, T(v)= ⟨−5,−2⟩. Find the following: T(u) = _____?_____(Enter vectors ⟨x,y⟩ using < x, y >)       Log On


   

Question 1182582: Suppose T is a linear transformation, with T ( u )= ⟨5,−1⟩, T(v)= ⟨−5,−2⟩.
Find the following:
T(u) = _____?_____(Enter vectors ⟨x,y⟩ using < x, y >)
T(3u-4v)= _________?______ (Enter vectors ⟨x,y⟩ using < x, y >)




Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

T(u) is just given in the problem,  so there is no need  "to find" it;  simply read the problem.


To find vector  T(3u - 4v),  multiply vector  T(u)  by 3;  then subtract from it vector  T(v),  multiplied by 4.


Happy calculations (!)

If after my instructions you still have questions, do not hesitate to ask them.

You may report me about your progress.