One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a basis of the eigenspace of A corresponding to X₁.
One eigenvalue of the matrix A 1 12 167 -3 14 12 is A₁ = 5. -10 30 45. Find enough vectors to form a basis of the eigenspace of A corresponding to X₁.
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:One eigenvalue of the matrix A
1
V1 =
12 167
14 12 is X₁ = 5.
Find enough vectors to form a basis of the eigenspace of A corresponding to A₁.
V2
-3
-10 30 45.
Fill vectors from left to right. Leave unneeded vectors blank.
00
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