3 HH Let y = 7 u₁= 1 3 UTU= W|N 10 01 w|→ 55 and UUT = W|N 1 a. Let U = [₁, ₂]. Compute U¹U and UUT. - Im 3 and W=Span {u₁₁u₂}. Complete parts (a) and (b). b. Compute projwy and (UU) y. projwy = 82 2 I 99 9 25 4 99 9 24 5 99 9 (Simplify your answers.) and (UU) y = (Simplify your answers.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#10p2

2
HH
Let y = 7 U₁
UTU=
- Im
1
01
W|N
and UUT =
I
W|N
W|N
a.
et U= [₁ ₂]. Compute UTU and UUT.
1
د ال
b. Compute projwy and (UU) y.
projwy =
and (UU) y=
3
and W = Span (u₁,u₂}. Complete parts (a) and (b).
82
99 9
24
99
2
2 5 4
99
|
619
5
(Simplify your answers.)
(Simplify your answers.)
Transcribed Image Text:2 HH Let y = 7 U₁ UTU= - Im 1 01 W|N and UUT = I W|N W|N a. et U= [₁ ₂]. Compute UTU and UUT. 1 د ال b. Compute projwy and (UU) y. projwy = and (UU) y= 3 and W = Span (u₁,u₂}. Complete parts (a) and (b). 82 99 9 24 99 2 2 5 4 99 | 619 5 (Simplify your answers.) (Simplify your answers.)
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