Unfamiliar notation for min ask question asked 7 years, 4 months ago modified 4 years, 2 months ago If you define arg min f f as the set of values where the function attains its minimum, then one should write x Γ’Λ†Λ† x Γ’Λ†Λ† arg min f f whereas x = x = arg min f f is not what most authors intend to say. The rank of a matrix a a which maps v v to w w is the same as the dimension of the image of v v, which will be some subspace u u.

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