07 * Let U and V be two dimensional vector spaces with bases {u₁, u2} and {V1, V2} respec- tively. If u₁ = 2V1 V2 and u2 V₁ + V2, determine Pu.v. 1/3 [11:02] 1/5 [1-1; 1 2] 1/3 [1 -1; 1 2] 1/5 [11; 02]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
07
*
Let U and V be two dimensional vector spaces with bases {u₁, u₂} and {V₁, V2} respec-
tively. If
u₁ = 2V1 V2 and
determine Pu.v.
1/3 [11; 02]
1/5 [1-1; 1 2]
1/3 [1 -1; 1 2]
1/5 [1 1; 02]
U2 = V1 + V2,
Transcribed Image Text:07 * Let U and V be two dimensional vector spaces with bases {u₁, u₂} and {V₁, V2} respec- tively. If u₁ = 2V1 V2 and determine Pu.v. 1/3 [11; 02] 1/5 [1-1; 1 2] 1/3 [1 -1; 1 2] 1/5 [1 1; 02] U2 = V1 + V2,
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