Consider the vectors u₁ = 1 1 = 2 → -9--9--8--8 -2 2 = -5 4 6 1 and the vector w = -7 →→→ →→→→ If wIS in the span of u₁, u₂, uz, u4, write was a linear combination of u₁, u2, u3, u4, using as few nonzero coefficients as possible. →→→→ If w IS NOT in the span of u₁, u2, uz, u4, write DNE in each of the answer boxes.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 28E
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Attempted the problem with different numbers but got a row of zeros and does not match the answer provided; even with the free variables. I dont know what I'm doing wrong 

Consider the vectors u₁ =
1
1
= 2
→
-9--9--8--8
-2
2
=
-5
4
6
1
and the vector w =
-7
→→→
→→→→
If wIS in the span of u₁, u₂, uz, u4, write was a linear combination of u₁, u2, u3, u4, using as few
nonzero coefficients as possible.
→→→→
If w IS NOT in the span of u₁, u2, uz, u4, write DNE in each of the answer boxes.
Transcribed Image Text:Consider the vectors u₁ = 1 1 = 2 → -9--9--8--8 -2 2 = -5 4 6 1 and the vector w = -7 →→→ →→→→ If wIS in the span of u₁, u₂, uz, u4, write was a linear combination of u₁, u2, u3, u4, using as few nonzero coefficients as possible. →→→→ If w IS NOT in the span of u₁, u2, uz, u4, write DNE in each of the answer boxes.
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