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Are there vector spaces with uncountable basis?

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#vector-spaces #hamel-basis
264
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Dual Space Subset Existence Proof.

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#linear-algebra #vector-spaces #dual-spaces #hamel-basis
45
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null,row and column space can have different bases

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#linear-algebra #vector-spaces #hamel-basis
189
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We have $n$ real numbers around the circle and among any consecutive 3 one is AM of the other two. Then all the numbers are the same or $3\mid n$.

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#linear-algebra #combinatorics #vector-spaces #algebraic-combinatorics #hamel-basis
114
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Benefits of choosing a Hamel bases for $L^p$ including a specific linearly independent subset

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#functional-analysis #vector-spaces #normed-spaces #hamel-basis
92
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I wanna know about a theorem of linear algebra

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#linear-algebra #vector-spaces #hamel-basis
1.6k
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Can a Hamel basis for an infinite-dimensional Hilbert space be orthonormal?

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#functional-analysis #hilbert-spaces #orthonormal #hamel-basis
75
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Constructing a new basis

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#linear-algebra #hamel-basis
83
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$U=\{ p\in P_{4}\left( \mathbb{R} \right) : p''\left( 6\right) =0\}$ Find a basis for $U$

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#linear-algebra #proof-verification #polynomials #vector-spaces #hamel-basis
40
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Does the set $\{2^q : q\in \mathbb{Q}, 0\le q < 1\}$ form a linearly independent set over the field $\mathbb{Q}$

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#hamel-basis
336
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How to find the intersection of $W$ and $Z$?

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#linear-algebra #matrices #vector-spaces #matrix-equations #hamel-basis
24
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Finding a Basis of a Vector Space - Coefficients

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#linear-algebra #hamel-basis
557
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Showing $\mathbb{R}^2$ has a Hamel basis using Zorn's lemma?

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#set-theory #axiom-of-choice #hamel-basis
1.5k
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Finding a Basis for the Vector space of sequences of the form $u_{n+1} = u _{n-1} + u_n$?

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#linear-algebra #vector-spaces #hamel-basis
62
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Finding a basis for a eigenspace

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#linear-algebra #vector-spaces #eigenvalues-eigenvectors #hamel-basis

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