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Find the equation of a plane that is invariant with respect to the following transformation:

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#linear-algebra #linear-transformations #invariant-subspace
52
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Spectral properties of hypercyclic operators

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#linear-algebra #functional-analysis #operator-theory #spectral-theory #invariant-subspace
73
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Decomposition of vector space to produce nilpotent and invertible transformations

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#linear-algebra #linear-transformations #direct-sum #nilpotence #invariant-subspace
53
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Application of bounded operators

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#functional-analysis #operator-theory #invariant-subspace
163
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Orthogonal tranformation over invariant subspace

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#linear-algebra #linear-transformations #orthogonality #invariant-subspace
89
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Prove that the Jordan Canonical Form of $T$ contains the Jordan Canonical Form of $T|_W$ for any $T$-invariant $W.$

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#linear-algebra #jordan-normal-form #invariant-subspace
417
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Intersection of two invariant subspaces

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#linear-algebra #invariant-subspace
164
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Cyclical subspace intuition

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#linear-algebra #linear-transformations #invariant-subspace
762
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Eigenvalues of a linear matrix pencil (Ax = λ Bx) using the subspace iteration method

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#linear-algebra #eigenvalues-eigenvectors #numerical-linear-algebra #invariant-subspace
80
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$M_B(\phi)$ is an upper triangular matrix iff $U_i\subset U_{i+1}$ and $U_i$ is $\phi$-invariant

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#linear-algebra #matrices #invariant-subspace
129
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Show that $\phi (v)=\lambda v$ for a vector $v$ and a coefficient $\lambda$

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#linear-algebra #matrices #linear-transformations #invariant-theory #invariant-subspace
146
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How do I prove that eigenspaces and root subspaces are invariant for A?

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#linear-algebra #eigenvalues-eigenvectors #invariant-subspace
268
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Invariant subspaces of symmetric operators

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#linear-algebra #linear-transformations #representation-theory #symmetric-groups #invariant-subspace
167
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Reducible/Irreducible 2x2 matrices

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#matrices #invariant-subspace
93
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$T$ is a normal operator, prove any eigenspace of $T+T^*$ is invariant under $T$

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#linear-algebra #invariant-subspace #normal-operator

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