Answered: 11 7 7 5) 711 7 7 711

Math

Advanced Math

11 7 7 5) 711 7 7 711

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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Question

Can someone please explain to me? ASAP??!! Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. I put the answer in here. How they got this answer?

5)
=
[1/√√3 -1/√√2-1/√√6]
1/3 12-1/6, D =
1/√√3
0 2/√√6
25 0 0
040
004

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Step 1: In this we write the given matrix .

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Step 2: We find eigen vectors.

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Step 3: We normalise the eigen vectors .

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