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## Homework Statement

- 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

## Homework Equations

T(v)=A

_{T}*v

## 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