Let E= -{Q.A} be the standard basis in R² and let B = T= (a) Find the transition matrix 7 from the basis E to the basis B. -188 (b) Find the coordinates of the vector v 18 (c) Consider the ordered basis C 188 -{].} orv = [2²] with respect to the ordered basis B. -{B} be an ordered basis in R². Find the transition matrix S from the basis C to the basis B.

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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Let E=
S
-{8.A} be the standard basis in R² and let B =
T=
(a) Find the transition matrix T from the basis E to the basis B.
-188
[v]B
(b) Find the coordinates of the vector v
8
(c) Consider the ordered basis C
v=[2³] ~
188
-{].}
-{}A}
be an ordered basis in R².
with respect to the ordered basis B.
Find the transition matrix S from the basis C to the basis B.
Transcribed Image Text:Let E= S -{8.A} be the standard basis in R² and let B = T= (a) Find the transition matrix T from the basis E to the basis B. -188 [v]B (b) Find the coordinates of the vector v 8 (c) Consider the ordered basis C v=[2³] ~ 188 -{].} -{}A} be an ordered basis in R². with respect to the ordered basis B. Find the transition matrix S from the basis C to the basis B.
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