 147
 2
1. The problem statement, all variables and given/known data
2. Relevant equations
T(v)=A_{T}*v
3. The attempt at a solution
I was able to prove part a. I let v=(v1,v2) and w=(w1,w2)
apply T(v)=A_{T}*v and do the expansions easily yields the result
But for part b I am clueless. Please suggest an attempt
 Consider the vector space R2 with the standard inner product given by ⟨(a, b), (c, d)⟩ = ac + bd. (This is just the dot product.)
PLEASE SEE THE ATTACHED PHOTO FOR DETAIlS
2. Relevant equations
T(v)=A_{T}*v
3. The attempt at a solution
I was able to prove part a. I let v=(v1,v2) and w=(w1,w2)
apply T(v)=A_{T}*v and do the expansions easily yields the result
But for part b I am clueless. Please suggest an attempt
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