Exercise 5.1.1 Consider the vectors U₁ = 1 -2 Which of the following vectors are in span {u₁, combination of u₁,...,u4 that equals this vector. (a) x= 1 2 U₂ = -1 U3 = (b) y = -3 -2 2 -3 4 U4 = ,u4}? For each vector that is in the span, exhibit a linear 1 2 (c) Z=

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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Exercise 5.1.1 Consider the vectors
1
1
-2
U₁ =
(a) x=
1
U₂ =
2
2
-2
-0--3
(b) y =
1
>
U3 =
Which of the following vectors are in span {u₁,...,4}? For each vector that is in the span, exhibit a linear
combination of u₁,...,u4 that equals this vector.
2
-3
-2
-4
U4 =
(c) z=
1
2
1
52
-2
Transcribed Image Text:Exercise 5.1.1 Consider the vectors 1 1 -2 U₁ = (a) x= 1 U₂ = 2 2 -2 -0--3 (b) y = 1 > U3 = Which of the following vectors are in span {u₁,...,4}? For each vector that is in the span, exhibit a linear combination of u₁,...,u4 that equals this vector. 2 -3 -2 -4 U4 = (c) z= 1 2 1 52 -2
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