4 [5], 9 (a) Write b as a linear combination of a₁ and a2. Let al b a2 = -8 7 and T(a₂) and b = 2 [3] a2. (b) If T: R² → R² is a linear combination such that 9 T(a₁) = [1] 9 52 - 84 a₁ + find T(b).
4 [5], 9 (a) Write b as a linear combination of a₁ and a2. Let al b a2 = -8 7 and T(a₂) and b = 2 [3] a2. (b) If T: R² → R² is a linear combination such that 9 T(a₁) = [1] 9 52 - 84 a₁ + find T(b).
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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Question
22
![8
[]
[7³]
(a) Write b as a linear combination of a₁ and a2.
Let ai
b
=
=
T(b)
=
a2 =
and T(a₂)
Check Answer
and b
2
(b) lf T: R² → R² is a linear combination such that
T(2₁) = [1]
find T(b).
=
a2.
=
52
[-534]
84
a₁ +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b246d18-8a9b-46e8-9ce3-5ee18ec1dc9f%2Fb81d6c6b-3728-4aeb-ba57-ff2f7547bbdc%2F82vyrw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8
[]
[7³]
(a) Write b as a linear combination of a₁ and a2.
Let ai
b
=
=
T(b)
=
a2 =
and T(a₂)
Check Answer
and b
2
(b) lf T: R² → R² is a linear combination such that
T(2₁) = [1]
find T(b).
=
a2.
=
52
[-534]
84
a₁ +
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