Let ₁ = -9 -13 . U₂ = -14 -21 10 and w= 4 6 2 • Is w in {D₁, D₂, 03} ? Type "yes" or "no". no How many vectors are in (₁, ₂, 3)? Enter "inf" if the answer is infinitely many. 1 How many vectors are in Span (₁, ₂, 3)? Enter "inf" if the answer is infinitely many. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 70E
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Question
-9
-13
----
=
U3 =
6
-3
Let U₁=
-4
-14
2
-21
10
and w=
4
6
2
1. Is w in (U₁, D₂, U3}? Type "yes" or "no". no
2. How many vectors are in (₁, 2, 03)? Enter "inf" if the answer is infinitely many. 1
3. How many vectors are in Span (U₁, U₂, U3]? Enter "inf" if the answer is infinitely many. 1
4. Is w in the subspace spanned by (0₁, U₂, U3}? Type "yes" or "no". yes
Transcribed Image Text:-9 -13 ---- = U3 = 6 -3 Let U₁= -4 -14 2 -21 10 and w= 4 6 2 1. Is w in (U₁, D₂, U3}? Type "yes" or "no". no 2. How many vectors are in (₁, 2, 03)? Enter "inf" if the answer is infinitely many. 1 3. How many vectors are in Span (U₁, U₂, U3]? Enter "inf" if the answer is infinitely many. 1 4. Is w in the subspace spanned by (0₁, U₂, U3}? Type "yes" or "no". yes
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