For each of the following, find the transition matrix corresponding to the change of basis from (u;, u;) to (e₁,e₂): (a) u; = (1, 1)7, (b) u; = (1.2)¹. (c) u: = (0, 1² @₂;=(-1,1)² u; = (2, 5)² u: = (1, 0)²

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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1. For each of the following, find the transition matrix
corresponding to the change of basis from (u,. u:)
to (e₁. €₂):
(a) u, = (1, 1),
(b) u,= (1, 2).
(c) u₁ = (0, 1)¹.
₂=(-1.1)
u: = (2.5)
u; = (1,0)¹
Transcribed Image Text:1. For each of the following, find the transition matrix corresponding to the change of basis from (u,. u:) to (e₁. €₂): (a) u, = (1, 1), (b) u,= (1, 2). (c) u₁ = (0, 1)¹. ₂=(-1.1) u: = (2.5) u; = (1,0)¹
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