Problem 32. Suppose e1, e2, .., e, is an orthonormal basis of V and v1 , vz, .., ",n are for each j. Prove that vi, v2, ..., 'n is a vectors in V such that ||ej – v;|| < basis of V.

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 32. Suppose e¡, e2, ..., e, is an orthonormal basis of V and v1 , vz, ..., V, are
– v;|| <
1
for each j. Prove that v1, v2, ..., Vn is a
vectors in V such that ||e;
basis of V.
all
04:42 PM
2021-08-18 Page: 1 of 1
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E E E E
+
Words: 0
100% -
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - - A A E- E - F 章 T Calibri (Body) - 11 Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy Сopy ae Replace B I U U - abe x, x² ab A I Normal I No Spaci. Heading 1 Paste A Change . Heading 2 Title Subtitle W Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing L • 2. 1:. I' 2: 1 : 3:1 • 4.I 5.1' 6.1'7 I'8: 1 9 ' 10.L· 11: 1 ' 12.'13 · L 14: 1· 15.1A L'17:1 18 Problem 32. Suppose e¡, e2, ..., e, is an orthonormal basis of V and v1 , vz, ..., V, are – v;|| < 1 for each j. Prove that v1, v2, ..., Vn is a vectors in V such that ||e; basis of V. all 04:42 PM 2021-08-18 Page: 1 of 1 国 昆言 E E E E + Words: 0 100% -
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