Let a₁ = b , a₂ = and b = (a) Write b as a linear combination of a₁ and a2. T(b) = 32 a₁+ a2. (b) If T : R² → R² is a linear combination such that T(a)=[] and T(22) = B find T(b).
Let a₁ = b , a₂ = and b = (a) Write b as a linear combination of a₁ and a2. T(b) = 32 a₁+ a2. (b) If T : R² → R² is a linear combination such that T(a)=[] and T(22) = B 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
Related questions
Question
Solve
![[9]
(a) Write b as a linear combination of a₁ and a2.
Let a1 =
b
T(b)
N
a₂
Check Answer
-87
2
and b
a₁+
32
(b) If T : R² → R² is a linear combination such that T(a) — [s] and T(a2)
5
a2.
[33]
find T(b).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18574973-f25e-4ab8-b7d6-6007b5b87fc4%2F48892c9e-44bc-4fc6-9d95-cfbd3213c7d9%2Fmu4si9j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[9]
(a) Write b as a linear combination of a₁ and a2.
Let a1 =
b
T(b)
N
a₂
Check Answer
-87
2
and b
a₁+
32
(b) If T : R² → R² is a linear combination such that T(a) — [s] and T(a2)
5
a2.
[33]
find T(b).
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