X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Help Search Home Insert Draw Layout Comments Find Cut 11A A Aa A E2T Calibri (Body) AаBЬСcDc AaBЬСcDc AaBbC AаBbСcL A ав Replace Copy Paste Dictate No Spa.... Heading T Normal Heading 2 Title В IUab- х, х* А Select Format Painter Clipboard Paragraph Styles Editing Voice Font N - and u = Write y as the sum of a vector in Span{u} and a vector orthogonal to u Let y = That is, Find vectors x and w such that x E Span{u}, w I u, and y = x + w. у Ctrl) words DFocus Page 1 of 100% 2:42 PM а Type here to search W 5 11/11/2019

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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11A A Aa A
E2T
Calibri (Body)
AаBЬСcDc AaBЬСcDc AaBbC AаBbСcL A ав
Replace
Copy
Paste
Dictate
No Spa.... Heading
T Normal
Heading 2
Title
В IUab- х, х* А
Select
Format Painter
Clipboard
Paragraph
Styles
Editing
Voice
Font
N
-
and u =
Write y as the sum of a vector in Span{u} and a vector orthogonal to u
Let y =
That is, Find vectors x and w such that x E Span{u}, w I u, and y = x + w.
у
Ctrl)
words
DFocus
Page 1 of
100%
2:42 PM
а
Type here to search
W
5
11/11/2019
Transcribed Image Text:X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Help Search Home Insert Draw Layout Comments Find Cut 11A A Aa A E2T Calibri (Body) AаBЬСcDc AaBЬСcDc AaBbC AаBbСcL A ав Replace Copy Paste Dictate No Spa.... Heading T Normal Heading 2 Title В IUab- х, х* А Select Format Painter Clipboard Paragraph Styles Editing Voice Font N - and u = Write y as the sum of a vector in Span{u} and a vector orthogonal to u Let y = That is, Find vectors x and w such that x E Span{u}, w I u, and y = x + w. у Ctrl) words DFocus Page 1 of 100% 2:42 PM а Type here to search W 5 11/11/2019
Expert Solution
Step 1

Obtain the orthogonal vector which is in span (u)
7
[2 6
1
y.u
u=-
7
[7 1
u u
20 7
50 1
14
5
2
5
Step 2

w y-y
14
5
2
14
2-
5
2
6
5
4
28
5
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