MGAKGKTuestion 9 of 9N Use the matrices P and D to construct a spectral decomposition of A= PDP 1 V18 3 -2 4 7 0 4 A = -2 6 2 P = uj U2 Uz DD 0 7 18 4 2 3 0 0 -2 1 1 2 V18 3 A spectral decomposition of A is A = (Ou,u O+Ougu where u, u-,- and u,u -O (Simplify your answers.) 1/3 5/-
MGAKGKTuestion 9 of 9N Use the matrices P and D to construct a spectral decomposition of A= PDP 1 V18 3 -2 4 7 0 4 A = -2 6 2 P = uj U2 Uz DD 0 7 18 4 2 3 0 0 -2 1 1 2 V18 3 A spectral decomposition of A is A = (Ou,u O+Ougu where u, u-,- and u,u -O (Simplify your answers.) 1/3 5/-
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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Transcribed Image Text:Eriew question 9 of 9 6 comp
Use the matrices P and D to construct a spectral decomposition of A= PDPT
1
1.
18
3 -2 4
7 0
A=
6 2
P = u, u2 U3
0.
D=
07
/18
4
2 3
1
18
A spectral decomposition of A is A = ( ,0, + (),0, )a,ug where u, u =,4;-[, and uzu, =D
(Simplify your answers.)
/-
12
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