erify that ; is an eigenvalue of A and that x; is a corresponding eigenvector. 4- [89] A = 3 0 A₁ = 3, x₁ = (1, 0) 0 -3 2₂ = -3, x₂ = (0, 1) 3 -- = - [_[:] - = ³ [1] = 21x1 0 -3 11 3 ---[i] - 2x2 ไป = = = --- 0 -3 ↓ 1 4x1 4x2
erify that ; is an eigenvalue of A and that x; is a corresponding eigenvector. 4- [89] A = 3 0 A₁ = 3, x₁ = (1, 0) 0 -3 2₂ = -3, x₂ = (0, 1) 3 -- = - [_[:] - = ³ [1] = 21x1 0 -3 11 3 ---[i] - 2x2 ไป = = = --- 0 -3 ↓ 1 4x1 4x2
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:Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector.
3
0
A =
[
A₁ = 3, x₁ = (1, 0)
2₂ = -3, x₂ = (0, 1)
0
-3
AX1
~-[D-F= -0) ---
3
=
0 -3
3
*-*«DE÷-0→
AX2 =
=
=
ไป
= 22x2
↓ 1
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