(d) Let n be a positive integer, and let V be an n-dimensional vector space over R. For any basis B of V, the function (
Posted: Fri Jul 08, 2022 5:37 am
(d) Let n be a positive integer, and let V be an n-dimensional vector space over R. For any basis B of V, the function (v, W) w) = B(v) B(W) · defines an inner product on V, where B: V → R" is the coordinate transformation of V relative to B (from Week 5 lecture notes) and the dot refers to the dot product of vectors in R".