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Can you change basis in an exterior algebra?

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#mathematical-physics #fourier-transform #exterior-algebra #change-of-basis
68
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Show exists a subspace $W \subseteq \mathbb{C}^{n}$ of dimension $1$ such that every Jordan basis of $ \mathbb{C}^{n}$ contains a generator of $W$

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#linear-algebra #linear-transformations #jordan-normal-form #change-of-basis
23
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Change of basis such that the line $\ell=\{tx:t\in\mathbf{R}\}$ passes through the origin and $(1,0,\ldots,0)$

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#linear-algebra #linear-transformations #change-of-basis
102
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If $\{e_1,e_2,e_3\}$ and $\{v_1,v_2,v_3\}$ are two different basis, $[v]_B\neq [v]_V$. So what is wrong in my argument

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#linear-algebra #change-of-basis
59
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Linear Algebra with Nilpotent Operator (proof verification)

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#linear-algebra #proof-verification #change-of-basis
468
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Matrix of a transformation in $M_2(\Bbb R)$ space

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#linear-algebra #linear-transformations #change-of-basis
46
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Basis change of linear transformation

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#linear-algebra #matrices #transformation #change-of-basis
28
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Linear independence basis change

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#linear-algebra #change-of-basis
2.4k
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Find coordinate vector for change of bases when matrix is non-square

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#linear-algebra #matrices #change-of-basis
56
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vector spaces are a balanced category

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#vector-spaces #category-theory #linear-transformations #abelian-categories #change-of-basis
45
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Change of Basis In Matrix Form

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#matrices #change-of-basis #transition-matrix
1.2k
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Is transpose of basis vectors still a basis for the original vector space?

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#linear-algebra #change-of-basis #transpose
190
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Change of basis matrix for subspace of functions

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#linear-algebra #vector-spaces #change-of-basis
341
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Obtaining the change of basis matrix to the Jordan matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #jordan-normal-form #change-of-basis
1.9k
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How do "Eigenbases" and "orthonormal bases" relate?

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#linear-algebra #matrices #eigenvalues-eigenvectors #change-of-basis

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