Consider the 3 x 3 matrix A definced as follows A -8 -1 d. Find the eigenvalues of A° and their coresponding eigenspaces. e. Do the eigenvectors of A form a basis for R? f. Find an orthogonal matris P that diagonalizes A. g. Use diagonalization to com 16.
Consider the 3 x 3 matrix A definced as follows A -8 -1 d. Find the eigenvalues of A° and their coresponding eigenspaces. e. Do the eigenvectors of A form a basis for R? f. Find an orthogonal matris P that diagonalizes A. g. Use diagonalization to com 16.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 27EQ
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ans all parts d e f g
e f g are complimentary
![f Processing Image.
Consider the 3 x 3 matrix A defined as follows
4 -4
-8 -1
A =
-1
-8,
d. Find the eigenvalues of A1° and their corresponding eigenspaces.
e. Do the eigenvectors of A form a basis for R?
I. Find an orthogonal matrix P that diagonalizes A.
g. Use diagonalization to com
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Transcribed Image Text:f Processing Image.
Consider the 3 x 3 matrix A defined as follows
4 -4
-8 -1
A =
-1
-8,
d. Find the eigenvalues of A1° and their corresponding eigenspaces.
e. Do the eigenvectors of A form a basis for R?
I. Find an orthogonal matrix P that diagonalizes A.
g. Use diagonalization to com
wasdn td Beta
STamed di
nanr a
ur
ie dn
igpe Thes, A de
desot" t o t n
retalgup dalde
ngpeceThe
No Shadow
Original
Lighten
Magic Color
Graysca
Beta
OCR
Left
Markup
To Text
Correction
Sign
曲
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