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Direct Sum Test for more than 2 subspaces

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#linear-algebra #vector-spaces
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Why is a space of functions equal to the n-fold product of field F?

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#linear-algebra #functions #vector-spaces
1.7k
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What is the difference between vector space and dual space?

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#vector-spaces #notation #hilbert-spaces #quantum-mechanics #dual-spaces
162
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Is this ordered set of vectors a dcpo?

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#vector-spaces #order-theory
241
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Endomorphisms of $\mathbb Z$-modules are the same as those of $\mathbb F_p$-vector spaces

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#linear-algebra #abstract-algebra #group-theory #vector-spaces #modules
35.6k
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Finding which sets are subspaces of R3

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#linear-algebra #vector-spaces #vectors #invariant-subspace
1.4k
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is there a tornado-ish equation or vector 3D?

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#linear-algebra #geometry #ordinary-differential-equations #vector-spaces #vectors
56
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Example of a certain vector space

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#linear-algebra #vector-spaces
93
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Surjectivity of a linear transformation from the space of all formal power series to itself

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#linear-algebra #vector-spaces #linear-transformations
10.1k
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Finding rank and signature of a quadratic form.

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#linear-algebra #vector-spaces #quadratic-forms
296
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Why is the set of all Real Upper Triangular Square matrices not a vector space?

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#linear-algebra #matrices #vector-spaces
1.5k
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Show that set of all solutions $(a, b, c)$ of the equation $a+b+2c=0$ is a subspace of a vector space $V^3(R)$

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#linear-algebra #vector-spaces
19
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Is a vector apart of a certain Null Space?

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#vector-spaces
54
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If $0 \in S_1+S_2$ then $(S_1+S_2)^* \subset S_1^* \cap S_2^*$.

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#linear-algebra #vector-spaces #dual-spaces
81
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Logic behind the formula for distance between a point and a line

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#vector-spaces #vectors #cross-product #solid-geometry

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