XDocument1 - WordAutoSaveevie tuckerOffETMailingsReviewShareFileDesignReferencesViewHelpSearchHomeInsertDrawLayoutCommentsFindCut11A A Aa ACalibri (Body)AаBЬСcDc AaBЬСcDc AaBbC AаBbСcL A авReplaceL CopyPasteDictateNo Spa.... HeadingT NormalHeading 2TitleВ IUvab х, х* АSelectFormat PainterStylesClipboardParagraphEditingVoiceFont510 +2(210) 2(510 -22(510)210102312. Use the results of problem 1 (and WA 10 #4) to show that510 210413(Ctrl)wordsDFocusPage 1 of100%3:50 PMаQXоType here to search611/4/2019

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Asked Nov 4, 2019
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A A Aa A
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AаBЬСcDc AaBЬСcDc AaBbC AаBbСcL A ав
Replace
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Paste
Dictate
No Spa.... Heading
T Normal
Heading 2
Title
В IUvab х, х* А
Select
Format Painter
Styles
Clipboard
Paragraph
Editing
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510 +2(210) 2(510 -2
2(510)210
10
2
3
1
2. Use the results of problem 1 (and WA 10 #4) to show that
510 210
4
1
3
(Ctrl)
words
DFocus
Page 1 of
100%
3:50 PM
а
QX
о
Type here to search
6
11/4/2019
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X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Help Search Home Insert Draw Layout Comments Find Cut 11 A A Aa A Calibri (Body) AаBЬСcDc AaBЬСcDc AaBbC AаBbСcL A ав Replace L Copy Paste Dictate No Spa.... Heading T Normal Heading 2 Title В IUvab х, х* А Select Format Painter Styles Clipboard Paragraph Editing Voice Font 510 +2(210) 2(510 -2 2(510)210 10 2 3 1 2. Use the results of problem 1 (and WA 10 #4) to show that 510 210 4 1 3 (Ctrl) words DFocus Page 1 of 100% 3:50 PM а QX о Type here to search 6 11/4/2019

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Expert Answer

Step 1

To find the 10th power of the given matrix using diagonalization

Step 2

FInd the eigenvalues and eigenvectors of the given matrix (to obtain diagonalization)

3 2
T =
1 4
characteristic equation
det(T c) 0c-7c+10 = 0.
Eigenvalues:c 2,c 5,
()
with
(2)
eigenvectors
(by solving Tv =2v,Tv = 5v,v=
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3 2 T = 1 4 characteristic equation det(T c) 0c-7c+10 = 0. Eigenvalues:c 2,c 5, () with (2) eigenvectors (by solving Tv =2v,Tv = 5v,v=

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Step 3

Identify the digaonalizing matrix P (use the ...

3 2
Т-
1 4
-1
3-1-2
-2 1
1
Let P
2 0
Then P TP =
0 5
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3 2 Т- 1 4 -1 3-1-2 -2 1 1 Let P 2 0 Then P TP = 0 5

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