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chessapig.github.io | ||
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ncatlab.org
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stephenmalina.com
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| | | | | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. | |
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xahlee.info
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| | | | | [AI summary] A collection of free and verified math textbooks and resources, including calculus, linear algebra, and advanced topics like category theory, along with some unverified materials. | |
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badarchaeology.wordpress.com
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| | | Microletters reading REX JESVS | ||
