Let V be a vector space, v, u € V, and let T₁ : V → V and T2 : V → V be linear transformations such that T₁(v) = 3v - 5u, T₁(u) = -3v+6u, T2(v) = 2v + 5u, T₂(u) = 7v+2u. Find the images of v and u under the composite of T₁ and 72. (T₂T1)(v) = (T₂T1)(u) =
Let V be a vector space, v, u € V, and let T₁ : V → V and T2 : V → V be linear transformations such that T₁(v) = 3v - 5u, T₁(u) = -3v+6u, T2(v) = 2v + 5u, T₂(u) = 7v+2u. Find the images of v and u under the composite of T₁ and 72. (T₂T1)(v) = (T₂T1)(u) =
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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
Transcribed Image Text:Let V be a vector space, v, u € V, and let T₁ : V → V and T2 : V → V be linear transformations such that
T₁(v) = 3v - 5u,
Ti(u) = -3v + 6u,
T₂(v) = 2v + 5u,
T₂(u) = 7v+2u.
Find the images of v and u under the composite of T₁ and T2 .
(T₂T1)(v) =
(T₂T₁)(u) =
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