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Explain yourselves, comp sci. (mander.xyz)

submitted 4 months ago by [email protected] to c/[email protected]

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[–] [email protected] 4 points 4 months ago

Continuous functions on [0,1] are vectors. Magnitude and direction are meaningless in that vector space, usually called C[0,1]. Magnitude and direction are not fundamental properties of vectors.

n by m matrices (and the vector spaces to which they belong) are perhaps best thought of similarly to functions and function spaces. Not as geometric objects, but as linear transformations (which they are).