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Does the subspace $W'$ exist such that $\mathbb{R}^3=W\oplus W'$?

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #direct-sum #invariant-subspace
36
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Maximal elements of subspaces

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#linear-algebra #invariant-subspace
33
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Finding an invariant subspace for a relative of the Volterra operator

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#functional-analysis #invariant-subspace
309
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Did I solve correctly?

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#linear-algebra #solution-verification #vector-spaces #invariant-subspace
47
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Is every subspace can be represented as T-cyclic for some T?

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#linear-algebra #invariant-subspace #primary-decomposition #companion-matrices #cyclic-decomposition
81
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Matrix with invariant subspace

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#linear-algebra #matrices #eigenvalues-eigenvectors #invariant-subspace #companion-matrices
87
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Can you verify my proof for this result about eigenvalues of the quotient operator?

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#linear-algebra #vector-spaces #eigenvalues-eigenvectors #linear-transformations #invariant-subspace
83
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Showing that $\phi$ is irreducible iff $\psi(g,h): X \to \phi(g)X\phi(h^{-1})$ is

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#group-theory #representation-theory #invariant-subspace
64
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Isomorphism in quotient spaces of linear spaces

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#linear-algebra #linear-transformations #quotient-spaces #semidirect-product #invariant-subspace
117
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Invariant Subspaces of $C_c^\infty(\mathbb{R})$

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#real-analysis #partial-differential-equations #invariant-subspace
55
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Integer vector subsets invariant under rational matrix

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#linear-algebra #integer-lattices #invariant-subspace
51
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General method for finding invariant subsapces of a nonlinear system

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#ordinary-differential-equations #nonlinear-system #fixed-point-theorems #nonlinear-dynamics #invariant-subspace
70
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Group representation over $\mathbb{Z}$

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#finite-groups #representation-theory #invariant-subspace
65
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A doubt in Fulton and Harris regarding invariant subspace

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#group-theory #representation-theory #invariant-subspace
69
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Find a bijection between invariant subspaces of dimension m and invariant subspaces of dimension n-m

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#linear-algebra #linear-transformations #dual-spaces #invariant-subspace

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