C2, if A act on C2, where A = [a1a2], αγ = (-3, 2), a2 = (-1, – 5) = a₂ Ο λ = -4 + i, (1 - i, 2); λ = -4 – i, (1 + i, 2) Ο λ=4-i, (1 + i, 2) ; λ = 4 + i, (1 – i, 2) - Ο λ = -4 + i, (1 + i, 2) ; λ = -4 – i, [1 – i, 2) Ο λ=4-i, (1 – i, 2) ; λ = 4 + i, [1 + i, 2) Ο λ = -3 + i, (2 + i, 5); λ = -3 – i, (2 – i, 5) = - Ο λ = 3 – i, (2 – i, 5) ; λ = 3 + i, (2 + i, 5)
C2, if A act on C2, where A = [a1a2], αγ = (-3, 2), a2 = (-1, – 5) = a₂ Ο λ = -4 + i, (1 - i, 2); λ = -4 – i, (1 + i, 2) Ο λ=4-i, (1 + i, 2) ; λ = 4 + i, (1 – i, 2) - Ο λ = -4 + i, (1 + i, 2) ; λ = -4 – i, [1 – i, 2) Ο λ=4-i, (1 – i, 2) ; λ = 4 + i, [1 + i, 2) Ο λ = -3 + i, (2 + i, 5); λ = -3 – i, (2 – i, 5) = - Ο λ = 3 – i, (2 – i, 5) ; λ = 3 + i, (2 + i, 5)
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
Find the eigenvalues and a basis for each eigenspace in
![C², if A act on C², where A = [a₁ a2], a₁ = (−3, 2), a2 = (−1, −5)
O
λ = −4+ i, (1 - i, 2); λ = −4 − i, (1 + i, 2)
2
-
Oλ=4-i, (1 + i, 2) ; λ = 4 + i, (1 − i, 2)
-
O 2-4 + i, (1 + i, 2); λ = -4 - i, [1 - i, 2)
=
Oa4-i, (1 - i, 2); λ = 4 + i, [1 + i, 2)
Ο
=
λ = −3+ i, (2 + i, 5); λ = −3 − i, (2 — i, 5)
O2 = 3-i, (2 − i, 5); λ = 3 + i, (2 + i, 5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F185d5a5b-3ba2-43e7-be68-f0b8755971b3%2Fee3fbcd2-6027-4fe5-8ca3-52b178763807%2Flfrt3ww_processed.jpeg&w=3840&q=75)
Transcribed Image Text:C², if A act on C², where A = [a₁ a2], a₁ = (−3, 2), a2 = (−1, −5)
O
λ = −4+ i, (1 - i, 2); λ = −4 − i, (1 + i, 2)
2
-
Oλ=4-i, (1 + i, 2) ; λ = 4 + i, (1 − i, 2)
-
O 2-4 + i, (1 + i, 2); λ = -4 - i, [1 - i, 2)
=
Oa4-i, (1 - i, 2); λ = 4 + i, [1 + i, 2)
Ο
=
λ = −3+ i, (2 + i, 5); λ = −3 − i, (2 — i, 5)
O2 = 3-i, (2 − i, 5); λ = 3 + i, (2 + i, 5)
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