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2a₂b₁ Let A = ab₂ + a₂b₁ a₁b3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b₂ a3b₂+ a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx + 2fy + c = (x + my + n) h b f a (l'x + m'y + n'), then h 8 g f = 0.

2a₂b₁ Let A = ab₂ + a₂b₁ a₁b3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b₂ a3b₂+ a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx + 2fy + c = (x + my + n) h b f a (l'x + m'y + n'), then h 8 g f = 0.

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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2a₁b₁ Let A = ab₂ + a₂b₁ a₁b3 + c3b₁ a₁b₂ + a₂b₁ 2a₂b₂ azb₂ + a₂b3 bab a₂b3 + a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by2 + 2gx + 2fy + c = (x + my + n) h b f a (l'x + m'y + n'), then h g g f = 0. C
Transcribed Image Text:2a₁b₁ Let A = ab₂ + a₂b₁ a₁b3 + c3b₁ a₁b₂ + a₂b₁ 2a₂b₂ azb₂ + a₂b3 bab a₂b3 + a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by2 + 2gx + 2fy + c = (x + my + n) h b f a (l'x + m'y + n'), then h g g f = 0. C
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