Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2 ~--~--~- = 1 4 , = - [³] 1 2 and 10 5 = 3 = ~-~-~- m₂ = 4 8 H 3 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 1 4 = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where
3
2
2
~--~--~-
= 1
4
, =
=
- [³]
2
1
2
and
10
5
=
3
=
~-~-~-
m₂ =
4
8
H
3
a) Find transition matrix from TB to SA
2
b) Find [v]SA given that [V]TB =
1
1
4
Transcribed Image Text:Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where 3 2 2 ~--~--~- = 1 4 , = = - [³] 2 1 2 and 10 5 = 3 = ~-~-~- m₂ = 4 8 H 3 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 1 4
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