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
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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[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).
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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