Let A = 1 0 2 2 0 1 1 20 01 2 1002_ (a) Find the characteristic polynomial p(x) working over the field R. (b) Find the characteristic polynomial p(x) working over the field F3. Select one: O None of the others apply ○ (a) р₁(x) = x²(x² - 1) (b) p₁(x) = x²(x + 1)(x + 2) ○ (a) p₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x + 1)4 ○ (a) P₁(x) = x(x³ - x² − x + 1) (b) p₁(x) = x(x + 1)(x + 2)² ○ (a) p₁(x) = (x − 1)(x³ − 4x² + 4x −9) (b) p₁(x) = x(x + 1)²(x + 2) -
Let A = 1 0 2 2 0 1 1 20 01 2 1002_ (a) Find the characteristic polynomial p(x) working over the field R. (b) Find the characteristic polynomial p(x) working over the field F3. Select one: O None of the others apply ○ (a) р₁(x) = x²(x² - 1) (b) p₁(x) = x²(x + 1)(x + 2) ○ (a) p₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x + 1)4 ○ (a) P₁(x) = x(x³ - x² − x + 1) (b) p₁(x) = x(x + 1)(x + 2)² ○ (a) p₁(x) = (x − 1)(x³ − 4x² + 4x −9) (b) p₁(x) = x(x + 1)²(x + 2) -
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
![Let A =
1
0
2
2 0 1
1 20
01 2
1002_
(a) Find the characteristic polynomial p(x) working over the field R.
(b) Find the characteristic polynomial p(x) working over the field F3.
Select one:
O None of the others apply
○ (a) р₁(x) = x²(x² - 1) (b) p₁(x) = x²(x + 1)(x + 2)
○ (a) p₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x + 1)4
○ (a) P₁(x) = x(x³ - x² − x + 1) (b) p₁(x) = x(x + 1)(x + 2)²
○ (a) p₁(x) = (x − 1) (x³ − 4x² + 4x −9) (b) p₁(x) = x(x + 1)²(x + 2)
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0de9773e-39c1-4df6-a7d6-864501c7f552%2F571bf005-d1b4-418d-b51a-6436a39e2cff%2Fvmq83yt_processed.png&w=3840&q=75)
Transcribed Image Text:Let A =
1
0
2
2 0 1
1 20
01 2
1002_
(a) Find the characteristic polynomial p(x) working over the field R.
(b) Find the characteristic polynomial p(x) working over the field F3.
Select one:
O None of the others apply
○ (a) р₁(x) = x²(x² - 1) (b) p₁(x) = x²(x + 1)(x + 2)
○ (a) p₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x + 1)4
○ (a) P₁(x) = x(x³ - x² − x + 1) (b) p₁(x) = x(x + 1)(x + 2)²
○ (a) p₁(x) = (x − 1) (x³ − 4x² + 4x −9) (b) p₁(x) = x(x + 1)²(x + 2)
-
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