------ 2 Let y = 6, U₁ 3 UTU= 10 01 a. Let U=[u₁ U₂]. Compute UTU and UUT. and UUT= 1 3 82 99 6|N 2 5 and W=Span {u₁,u₂}. Complete parts (a) and (b). 24 99 29 4 9 5 6|9 (Simplify your answers.) b. Compute projwy and (UU) y. projwy=[ and (UU) y= (Simplify your answers.)
------ 2 Let y = 6, U₁ 3 UTU= 10 01 a. Let U=[u₁ U₂]. Compute UTU and UUT. and UUT= 1 3 82 99 6|N 2 5 and W=Span {u₁,u₂}. Complete parts (a) and (b). 24 99 29 4 9 5 6|9 (Simplify your answers.) b. Compute projwy and (UU) y. projwy=[ 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
Related questions
Question
Let
y=
,
| 2 | ||
| 6 | ||
| 1 |
u1=
,
| 23 | ||
| −13 | ||
| −23 |
u2=
,
and
| 23 | ||
| 23 | ||
| 13 |
W=Span u1,u2.
Complete parts (a) and (b).Question content area bottom
Part 1
a. Let
U=
.
Compute
| u1 | u2 |
UTU
and
UUT.
UTU=Start 2 By 2 Table 1st Row 1st Column 1 2nd Column 0 2nd Row 1st Column 0 2nd Column 1 EndTable
and
| 1 | 0 | ||
| 0 | 1 |
UUT=Start 3 By 3 Table 1st Row 1st Column eight ninths 2nd Column two ninths 3rd Column negative two ninths 2nd Row 1st Column two ninths 2nd Column five ninths 3rd Column four ninths 3rd Row 1st Column negative two ninths 2nd Column four ninths 3rd Column five ninths EndTable
(Simplify your answers.)| 89 | 29 | −29 | ||
| 29 | 59 | 49 | ||
| −29 | 49 | 59 |
Part 2
b. Compute
projWy
and
UUTy.
![2
Let y = 6
u₁
UTU=
||
10
01
=
~|3
I
- 13
~/3
2
4₂
and UUT
||
2|3
a. Let U = [₁ ₂]. Compute UTU and UUT.
WIN
w|→
8
99
b. Compute projwy and (UUT)y.
projwy = and (UUT) y = |
6|N
2
2 5
99
24
99
and W = Span {u₁,u₂}. Complete parts (a) and (b).
2
9
4
9
510
9
(Simplify your answers.)
(Simplify your answers.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F508ce21e-3afd-444a-8549-489aa7ffa652%2F6fcf295a-2e2f-4f78-bae5-b5166f0284d1%2Fyktp2bn_processed.png&w=3840&q=75)
Transcribed Image Text:2
Let y = 6
u₁
UTU=
||
10
01
=
~|3
I
- 13
~/3
2
4₂
and UUT
||
2|3
a. Let U = [₁ ₂]. Compute UTU and UUT.
WIN
w|→
8
99
b. Compute projwy and (UUT)y.
projwy = and (UUT) y = |
6|N
2
2 5
99
24
99
and W = Span {u₁,u₂}. Complete parts (a) and (b).
2
9
4
9
510
9
(Simplify your answers.)
(Simplify your answers.)
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