(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 (

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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 1 (88.64 KiB) Viewed 36 times

(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".