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[2 Let A= 2 Find the characteristic polynomial. Find the eigenvalues. Find an eigenvector for each eigenvalue. Find a matrix P?

[2 Let A= 2 Find the characteristic polynomial. Find the eigenvalues. Find an eigenvector for each eigenvalue. Find a matrix P?

Linear Algebra: A Modern Introduction
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 16EQ
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7. Let A= 2 2 2 -1 Find the characteristic polynomial. Find the eigenvalues. Find an eigenvector for each eigenvalue. Find a matrix P?
Transcribed Image Text:7. Let A= 2 2 2 -1 Find the characteristic polynomial. Find the eigenvalues. Find an eigenvector for each eigenvalue. Find a matrix P?
(2) Area of Triangle in es A=11√ of Triangle formed by V' and W A (11012) BC21014) ((|12₁k)| area = 1 AB = (20₁1) - (11012) = (1/₁0(-1) 7 AC =/ (112₁K) - (11012) (0₁2, (²-2) (1) p Area = 1₂11 ABXAC² || HỂ XÁC 12 JE пискунорнор =- 0 1 -1 0 2 K-2 = V = 2^[ (K-2)+₂) -ĴEO] HE COL kî let X₁ = K X₂=-2K So [ %/1] = K[ -=¹2₂] in on So eigen Vector 2 =-2 15 =-2 15 [12] Row ] VG = 2√6 لمكات
Transcribed Image Text:(2) Area of Triangle in es A=11√ of Triangle formed by V' and W A (11012) BC21014) ((|12₁k)| area = 1 AB = (20₁1) - (11012) = (1/₁0(-1) 7 AC =/ (112₁K) - (11012) (0₁2, (²-2) (1) p Area = 1₂11 ABXAC² || HỂ XÁC 12 JE пискунорнор =- 0 1 -1 0 2 K-2 = V = 2^[ (K-2)+₂) -ĴEO] HE COL kî let X₁ = K X₂=-2K So [ %/1] = K[ -=¹2₂] in on So eigen Vector 2 =-2 15 =-2 15 [12] Row ] VG = 2√6 لمكات
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