XDocument1 - WordAutoSaveevie tuckerOffЕTMailingsReviewShareFileDesignReferencesViewHelpSearchHomeInsertDrawLayoutCommentsFindCutE2TCalibri (Body) 11 A A Aa AAаBЬСcDc AaBЬСcDc AaBbC( AаBbСCcL A авReplaceCopyPasteDictateT NormalNo Spa... HeadingHeading 2TitleВ IUab х, х* АSelectFormat PainterClipboardParagraphStylesEditingVoiceFontNV3/32/2V3/3-V2/20 3/31. Let U =and x =a) Show that U has orthonormal columnsFocuswordsPage 1 of93%7:18 PMаоType here to searchW511/18/2019

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Asked Nov 19, 2019
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1. Let U =
and x =
a) Show that U has orthonormal columns
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X Document1 - Word AutoSave evie tucker Off ЕT Mailings Review Share File Design References View Help Search Home Insert Draw Layout Comments Find Cut E2T Calibri (Body) 11 A A Aa A AаBЬСcDc AaBЬСcDc AaBbC( AаBbСCcL A ав Replace Copy Paste Dictate T Normal No Spa... Heading Heading 2 Title В IUab х, х* А Select Format Painter Clipboard Paragraph Styles Editing Voice Font N V3/3 2/2 V3/3 -V2/2 0 3/3 1. Let U = and x = a) Show that U has orthonormal columns Focus words Page 1 of 93% 7:18 PM а о Type here to search W 5 11/18/2019

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Expert Answer

Step 1

 Orthonormal se...

A set of vectors x,x,....x,} in R" is orthonormal if
(a%,x,)=
|1 i= j
i,je1,2.n
V3
,0 ani
2
Here, the columns of U are
2
(똘플이블
(동동이똥꽃이
0
2
6
6
=0
1
+
2
1
.0
2
2
2
2
=1
3
3
3
1 1 1
_
3
3
3
3
-1
help_outline

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A set of vectors x,x,....x,} in R" is orthonormal if (a%,x,)= |1 i= j i,je1,2.n V3 ,0 ani 2 Here, the columns of U are 2 (똘플이블 (동동이똥꽃이 0 2 6 6 =0 1 + 2 1 .0 2 2 2 2 =1 3 3 3 1 1 1 _ 3 3 3 3 -1

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