Note that you must answer all parts of this problem to receive any credit. [41] 21 H [₁]. Is w a linear combination of the vectors V1, V2 and 73? Let W = V₁ = = [22]₁ W= v₂ = O is not a linear combination of 1, 2 and 3 O is a linear combination of ₁, 2 and 3 If possible, write was a linear combination of the vectors V1, V2 and V3. If w is not a linear combination of the vectors ₁, 2 and 13, type "DNE" in the boxes V1+ and 3 = - √2+ V3

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
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Note that you must answer all parts of this problem to receive any credit.
[41], v₁ = V2
1-31
2
[4]
21
Is w a linear combination of the vectors V1, V2 and 73?
Let w
=
O is not a linear combination of 1, 2 and 3
Ow is a linear combination of V1, V2 and 3
w =
vi+
and 73
If possible, write was a linear combination of the vectors V₁, V2 and V3.
If w is not a linear combination of the vectors V₁, V2 and 13, type "DNE" in the boxes.
√₂+
-5
V3
Transcribed Image Text:Note that you must answer all parts of this problem to receive any credit. [41], v₁ = V2 1-31 2 [4] 21 Is w a linear combination of the vectors V1, V2 and 73? Let w = O is not a linear combination of 1, 2 and 3 Ow is a linear combination of V1, V2 and 3 w = vi+ and 73 If possible, write was a linear combination of the vectors V₁, V2 and V3. If w is not a linear combination of the vectors V₁, V2 and 13, type "DNE" in the boxes. √₂+ -5 V3
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