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Let A = [1 2 0 1] 01 20 2012 1 0 0 2 (a) Find the characteristic polynomial P(x) working over the field R. (b) Find the characteristic polynomial PA () working over the field F3. Select one: ○ (a) pÃ(x) = (x+1)(x³ +3x² +1) (b) p₁(x) = (x+1)4 ○ (a) P₁(x) = x²(x² − 1) (b) P₁(x) = x²(x + 1)(x+2) ○ (a) P₁(x) = x(x³ − x² − x + 1) (b) pÃ₁(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) None of the others apply

Let A = [1 2 0 1] 01 20 2012 1 0 0 2 (a) Find the characteristic polynomial P(x) working over the field R. (b) Find the characteristic polynomial PA () working over the field F3. Select one: ○ (a) pÃ(x) = (x+1)(x³ +3x² +1) (b) p₁(x) = (x+1)4 ○ (a) P₁(x) = x²(x² − 1) (b) P₁(x) = x²(x + 1)(x+2) ○ (a) P₁(x) = x(x³ − x² − x + 1) (b) pÃ₁(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) None of the others apply

Advanced Engineering Mathematics
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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Let A = 1 2 0 1 0120 20 12 1 0 0 2 (a) Find the characteristic polynomial PA () working over the field R. (b) Find the characteristic polynomial P(x) working over the field F3. Select one: ○ (a) P₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x+1)4 ○ (a) p₁(x) = x²(x² − 1) (b) p₁(x) = x²(x + 1)(x + 2) ○ (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) None of the others apply
Transcribed Image Text:Let A = 1 2 0 1 0120 20 12 1 0 0 2 (a) Find the characteristic polynomial PA () working over the field R. (b) Find the characteristic polynomial P(x) working over the field F3. Select one: ○ (a) P₁(x) = (x + 1)(x³ + 3x² +1) (b) p₁(x) = (x+1)4 ○ (a) p₁(x) = x²(x² − 1) (b) p₁(x) = x²(x + 1)(x + 2) ○ (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) None of the others apply
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