2 Let y = | 7 | u = 1 ~/3 1 3 Im 2 3 , uz - || 2 ب اس 3 ~/3 2 - 13 1 , and W = Span u,uz

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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So I am having a hard time figuring question b out. I dont think that is correct. By the way this is not homework this is practice questions. 

2
Let y = 7, U₁ =
a. Let
10
[19]
0 1
UTU=
1
HI
3
W|N
- Im
W|N
-3
and UUT=
W|N
I
W|N
J= [₁ ₂]. Compute U²U and UUT.
- 13
and W = Span (u₁,₂}. Complete parts (a) and (b).
82 2
9 9
25
99
2 4
99
4
S
|თ
9
(Simplify your answers.)
Transcribed Image Text:2 Let y = 7, U₁ = a. Let 10 [19] 0 1 UTU= 1 HI 3 W|N - Im W|N -3 and UUT= W|N I W|N J= [₁ ₂]. Compute U²U and UUT. - 13 and W = Span (u₁,₂}. Complete parts (a) and (b). 82 2 9 9 25 99 2 4 99 4 S |თ 9 (Simplify your answers.)
a. Let U=U₁ ₂. Compute U'U and UU".
U¹U =
10
0 1
projwy =
28
9
43
9
and UUT =
19
9
82
99
b. Compute projwy and (UU) y.
2 4
I
NIG
25
4
99 9
and (UU) y =
99 9
28
9
NIG
33
9
2
29
9
9
(Simplify your answers.)
(Simplify your answers.)
Transcribed Image Text:a. Let U=U₁ ₂. Compute U'U and UU". U¹U = 10 0 1 projwy = 28 9 43 9 and UUT = 19 9 82 99 b. Compute projwy and (UU) y. 2 4 I NIG 25 4 99 9 and (UU) y = 99 9 28 9 NIG 33 9 2 29 9 9 (Simplify your answers.) (Simplify your answers.)
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