Let V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis fo 3 2 2 n₁ = - A , n₂ = n3 = 2 2 and 10] - 6 m₁ = 4 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 -[] , m₂ = 538 5 3 8 " -H 3 m3 =

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 V be R³ and TB = {n₁, n2, n3} and SA = {m₁, m2, m3} be the ordered basis for R³, where
3
2
n1
-A.
1
n₂ =
B
4 n3 =
"
4
and
10]
m1
6
4
a) Find transition matrix from TB to SA
2
b) Find [v]SA given that [V]TB = 1
-[i]
=
-
=
m₂ =
[
538
8
m3 =
~2~
2
2
[2
TT
1
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 n1 -A. 1 n₂ = B 4 n3 = " 4 and 10] m1 6 4 a) Find transition matrix from TB to SA 2 b) Find [v]SA given that [V]TB = 1 -[i] = - = m₂ = [ 538 8 m3 = ~2~ 2 2 [2 TT 1
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