Problem 36. Suppose T is a normal operator on V. Suppose also that v, w e V satisfy the equations || = ||1|| = 2, Tv = 3v, Tw = 4w. Show that ||T (v + w)|| = 10.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 36. Suppose T is a normal operator on V. Suppose also that v, w e V
satisfy the equations
||»| = ||w|| = 2, Tv = 3v, Tw= 4w.
Show that ||T (v + w)|| = 10.
ull
04:58 PM
2021-08-18
Page: 1 of 1
国 昆言
E E E E
+
Words: 0
100% -
Transcribed Image Text:W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - Calibri (Body) - 11 - A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace BI U ab A I Normal I No Spaci. Heading 1 Paste abe x, x* 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 36. Suppose T is a normal operator on V. Suppose also that v, w e V satisfy the equations ||»| = ||w|| = 2, Tv = 3v, Tw= 4w. Show that ||T (v + w)|| = 10. ull 04:58 PM 2021-08-18 Page: 1 of 1 国 昆言 E E E E + Words: 0 100% -
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