Consider the vectors u₁ = ------- 2 and the vector : 3 B = If IS in the span of ₁, ₂, 3, 4, write was a linear combination of 1, 2, 3, 4, using as few nonzero coefficients as possible. X U2+ 1 3 →→→ If w IS NOT in the span of u₁, 2, 3, 4, write DNE in each of the answer boxes. w = 7 x uit- XU3+ 2 X U4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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Consider the vectors U₁
and the vector w =
=
W =
3
H
-3
7
D------Q
→→→
→→→
If u IS in the span of ui, u2, U3, U4, write was a linear combination of u₁, 2, U3, U4, using as few
nonzero coefficients as possible.
=
→→→→
If IS NOT in the span of u₁, ₂, 3, 4, write DNE in each of the answer boxes.
X U1+ -7
= 3
x u2+ 1
XU3+ 2
X Us
Transcribed Image Text:Consider the vectors U₁ and the vector w = = W = 3 H -3 7 D------Q →→→ →→→ If u IS in the span of ui, u2, U3, U4, write was a linear combination of u₁, 2, U3, U4, using as few nonzero coefficients as possible. = →→→→ If IS NOT in the span of u₁, ₂, 3, 4, write DNE in each of the answer boxes. X U1+ -7 = 3 x u2+ 1 XU3+ 2 X Us
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