2a₁b₁ Let A = ab₂ + a₂b₁ abz+azb a₁b₂+ a₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 + c3b₁ 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) a h b f (I'x + m'y + n), then h g g f = 0. C
2a₁b₁ Let A = ab₂ + a₂b₁ abz+azb a₁b₂+ a₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 + c3b₁ 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) a h b f (I'x + m'y + n), then h g g f = 0. C
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 4.93TI: Evaluate the determinant |324012231| , by expanding by minors along the first row.
Related questions
Question
![2a₁b₁
Let A = ab₂ + a₂b₁
ab3 +azbi
a₁b₂+d₂b₁
2a₂b₂
azb₂ + 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
(I'x + m'y + n'), then h
g
g
f = 0.
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3d37e6d-72ab-4959-9bb8-a2a921aad18e%2Fc326c0f3-32ec-4262-b2f7-3b173a1eff06%2Fb2aytk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2a₁b₁
Let A = ab₂ + a₂b₁
ab3 +azbi
a₁b₂+d₂b₁
2a₂b₂
azb₂ + 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
(I'x + m'y + n'), then h
g
g
f = 0.
C
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