Theorem 4.2.7. Let T HomF (V, V) and let w₁ EV such that mr,w₁(x) = mr(x). Let W₁ be the subspace T-generated by w₁. Then W₁ has a T- invariant complement W₂.
Theorem 4.2.7. Let T HomF (V, V) and let w₁ EV such that mr,w₁(x) = mr(x). Let W₁ be the subspace T-generated by w₁. Then W₁ has a T- invariant complement W₂.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Theorem 4.2.7. Let T HomF (V, V) and let w₁ EV such that mr,w₁(x) =
mr(x). Let W₁ be the subspace T-generated by w₁. Then W₁ has a T-
invariant complement W₂.
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