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=
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=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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