Need only a handwritten solution only (not a typed one). Find the real symmetric 3 x 3 matrix with eigenvalues λ₁ = −8, λ₂ = −5, A3 = 4 and corresponding mutually orthogonal eigenvectorsCheckV1 =-2 3V₂ =-333V3 =2

A matrix having the eigenvalues and corresponding orthogonal vectors .The aim is to find the real…

Answered: Find the real symmetric 3 x 3 matrix…

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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Find the real symmetric 3 x 3 matrix with eigenvalues A₁ = -8, A₂=-5, As = 4 and corresponding mutually orthogonal eigenvectors Check V₁ = -2 0 " V₂ = 3 3 5 V3 = 2 -2