2 ---- Let y = 8 = 1 a. Let U = = [₁ u₁ u₂ UTU= 10 01 23 13 and UUT = - 680 ]. Compute UTU and UUT. 23 13 23 6|N 8 2 6N 9 9 b. Compute projwy and (UUT) y. projwy = and (UUT) y = 24 and W= Span {u₁,u₂}. Complete parts (a) and (b). 25 4 99 9 9 9 - 2 9 59 (Simplify your answers.) (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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Question
2
----
Let y = 8
=
1
a. Let U =
= [₁ u₁ u₂
UTU=
10
01
23
13
and UUT =
-
680
]. Compute UTU and UUT.
23
13
23
8 2
6|N
9 9
b. Compute projwy and (UUT) y.
projwy = and (UUT) y =
24
and W= Span {u₁,u₂}. Complete parts (a) and (b).
25 4
99
9
9 9
-
2
9
59
(Simplify your answers.)
(Simplify your answers.)
Transcribed Image Text:2 ---- Let y = 8 = 1 a. Let U = = [₁ u₁ u₂ UTU= 10 01 23 13 and UUT = - 680 ]. Compute UTU and UUT. 23 13 23 8 2 6|N 9 9 b. Compute projwy and (UUT) y. projwy = and (UUT) y = 24 and W= Span {u₁,u₂}. Complete parts (a) and (b). 25 4 99 9 9 9 - 2 9 59 (Simplify your answers.) (Simplify your answers.)
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