Question No 4: Let S = {v1, v2, V3, Va} and T = {w1, W2, W3, Wa} where %3D [-1/2 1/2 4 7/2 1 3 3 Ps-r |-1/2 5/2 -1 -1/2 1 2 (1) If vz = [, ]; 6 71; v2 = ; vz = 6 ]; v, = G . Find T. ; V3 V4 (2) If coordinates of v with respect to T basis is [v]r 1 Find [v]s- [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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Question No 4: Let S = {v1, v2, V3, V4} and T
= {w1,W2, W3, W4} where
%3D
[-1/2
1
1/2
7/2
3
4
3
Ps-T
|-1/2
5/2
-1/2
1
-1
(1) If v, = 6 ); v2 = [
-1 3'
%3|
[1 0j
l6 l; v = [ ). Find T.
V3 =
%3D
0 1
(2) If coordinates of v with respect to T basis is [v]r
1
Find [v]s.
[2.
Transcribed Image Text:Question No 4: Let S = {v1, v2, V3, V4} and T = {w1,W2, W3, W4} where %3D [-1/2 1 1/2 7/2 3 4 3 Ps-T |-1/2 5/2 -1/2 1 -1 (1) If v, = 6 ); v2 = [ -1 3' %3| [1 0j l6 l; v = [ ). Find T. V3 = %3D 0 1 (2) If coordinates of v with respect to T basis is [v]r 1 Find [v]s. [2.
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