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Given $[A,B]=0$, when does $AV\subseteq V$ imply $BV\subseteq V$?

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#linear-algebra #matrices #invariant-subspace
83
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Find the dimension of the intersection of subspaces

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#linear-algebra #invariant-subspace
214
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Group actions and invariant subspaces

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#representation-theory #group-actions #invariant-subspace
111
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Invariant subspace of group representation

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#representation-theory #group-actions #invariant-subspace
1.4k
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A basis for a T-cyclic subspace

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#linear-algebra #invariant-subspace
504
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Which of the following sets are subspaces of $\textbf{R}^{3}$?

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#linear-algebra #matrices #invariant-subspace
560
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Show that $T$ is diagonalizable iff $T_{W_i}$ is diagonalizable for all $i$.

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#linear-algebra #diagonalization #direct-sum #invariant-subspace
1.4k
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Invariant subspace and characteristic polynomial spliting

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#linear-algebra #invariant-subspace
97
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A very small gap in a solution of a example in "Linear Algebra Done Right 3rd Edition" by Sheldon Axler.

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#linear-algebra #eigenvalues-eigenvectors #invariant-subspace
352
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A problem about invariant and quotient space

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#linear-algebra #solution-verification #quotient-spaces #invariant-subspace
707
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Can an eigenvalue have more than one cycle of generalized eigenvectors associated with it?

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#linear-algebra #jordan-normal-form #invariant-subspace
46
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linear algebra - is characteristic polynomial defined up to matrix?

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#linear-algebra #eigenvalues-eigenvectors #invariant-subspace #characteristic-polynomial
143
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Let $U$ be an $F$-invariant subspace such that $F$ is nilpotent on $U$. Then $U \subset \text{Ker } F^q$.

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#linear-algebra #nilpotence #invariant-subspace
160
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Problem understanding invariant subspaces and foliations

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#differential-geometry #dynamical-systems #control-theory #invariant-subspace
141
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Find non-trivial invariant subspaces of a projection onto plane

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#linear-algebra #invariant-subspace

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