Question: 2 17 Let A = . We define a function (, ) : R2 x R2 - R as follows: (I, ) = y' At,

2 17 Let A = . We define a function (, ) : R2 x R2 - R as follows: (I, ) = y' At, Vi,yER (a) Prove that (, ) defines an inner product on R2. (b) Find u1 = proje ez and uz = perp e2, where {e1, e2} is the standard basis for R2. Show your calculations. (c) Prove that {e1, u2} (specified in part b) is an orthogonal basis for R2

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