------ 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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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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