1 3 4 1 7 9 4 2 2 (:) 1 2 A = 20 3 B = 0 2 8 C = 2 1 1 M = 2 1 1 6 6 0 0 5 1 1 a) Show that 0 is an eigenvalue of C. b) Diagonalize C. c) Find an orthogonal basis of Nul C.
1 3 4 1 7 9 4 2 2 (:) 1 2 A = 20 3 B = 0 2 8 C = 2 1 1 M = 2 1 1 6 6 0 0 5 1 1 a) Show that 0 is an eigenvalue of C. b) Diagonalize C. c) Find an orthogonal basis of Nul C.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Q1
Transcribed Image Text:1 3 4
1 7 9
4 2 2
(:)
1 2
A =
20 3
B =
0 2 8
C =
2 1
1
M =
2 1
1 6 6
0 0 5
1
1
a) Show that 0 is an eigenvalue of C.
b) Diagonalize C.
c) Find an orthogonal basis of Nul C.
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