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Vector Field analog of Functions

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#linear-algebra #functional-analysis #vector-spaces
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Existence of subspace which is totally non-invariant under unitary transformation.

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#matrices #complex-analysis #vector-spaces
69
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Two definitions of vectors

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#vector-spaces #vectors
1.7k
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Understanding Row Space's Geometrical Interpretation

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#linear-algebra #matrices #vector-spaces
32
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subspace of $\mathbb R^4$.

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#vector-spaces
52
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The $\mathbb{C}$ vector space monad on the 2-Category of Groupoids

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#vector-spaces #category-theory #groupoids #monads
31
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Dimension of Matrix subspace $S=\{X\in V : Xa =0 \}$

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#linear-algebra #vector-spaces #systems-of-equations #matrix-equations
52
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Finding a specific $T$-invariant subspace that satisfies 3 criteria

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#linear-algebra #abstract-algebra #vector-spaces #invariant-subspace
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How to prove that orthogonal complement of null space is range of transpose of A

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#linear-algebra #vector-spaces
10.9k
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Are two planes perpendicular to a third plane parallel to each other?

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#vector-spaces
504
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Finding the value for $a$ for which three planes don't intersect

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#vector-spaces #systems-of-equations
34
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Vector Questions

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#vector-spaces #vector-analysis
44
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Algebraic Dimension of function space

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#linear-algebra #vector-spaces #cardinals
102
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If $\langle v,v_i \rangle = 0$ then $v=0$, what can I say about the span of $v_i$?

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#linear-algebra #vector-spaces #inner-products
541
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Checking my Understanding of and Motivation behind Tensors

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#vector-spaces #tensor-products #tensors #dual-spaces

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