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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

17 votes

Why are two "random" vectors in $\mathbb R^n$ approximately orthogonal for large $n$?

Pick two random unit vectors. After picking the first vector, switch to a coordinate system in which this is the first basis vector. The probability distribution for the second vector is assumed to be …
Robert Mastragostino's user avatar