Use the matrices P and D to construct a spectral decomposition of A= PDP-¹ A = -8 -4 4 -4 - 10 0 P=[U₁ 4 0-6 4₂ 5 U3] = 2 W|N W|NW|→ -13 ~/m W|N 2 3 3 WIN ب ابن 2 1 ف ال 3 ē 11 -2 O O 0 0 -8 0 0-14 T T T A spectral decomposition of A is A = (u₁u₁ + ¹₂u² + ( uzu?, where u₁u} = ₁ u₂u² = ₁ and u₂u² = - (Simplify your answers.)
Use the matrices P and D to construct a spectral decomposition of A= PDP-¹ A = -8 -4 4 -4 - 10 0 P=[U₁ 4 0-6 4₂ 5 U3] = 2 W|N W|NW|→ -13 ~/m W|N 2 3 3 WIN ب ابن 2 1 ف ال 3 ē 11 -2 O O 0 0 -8 0 0-14 T T T A spectral decomposition of A is A = (u₁u₁ + ¹₂u² + ( uzu?, where u₁u} = ₁ u₂u² = ₁ and u₂u² = - (Simplify your answers.)
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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![Use the matrices P and D to construct a spectral decomposition of A = PDP-1
- 4 4
-8
A= -4 - 10
4
0 P=[μ₁
0-6
¹3] =
- Աշ Ա3
2
3
1
D=
-2
0
0
0
0
8 0
0 - 14
C
A spectral decomposition of A is A = (u₁u² + ¹₂u₂² + ( uzu, where u₁u] =₁ 4₂²₂ = ₁ and u₂u² = -
(Simplify your answers.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff31d497b-3620-469b-803c-c1a53df0f79e%2F6f13209b-3908-4ba8-aa24-a52a1ccb79a3%2F4qy2jwu_processed.png&w=3840&q=75)
Transcribed Image Text:Use the matrices P and D to construct a spectral decomposition of A = PDP-1
- 4 4
-8
A= -4 - 10
4
0 P=[μ₁
0-6
¹3] =
- Աշ Ա3
2
3
1
D=
-2
0
0
0
0
8 0
0 - 14
C
A spectral decomposition of A is A = (u₁u² + ¹₂u₂² + ( uzu, where u₁u] =₁ 4₂²₂ = ₁ and u₂u² = -
(Simplify your answers.)
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