Exercise 5.1.1 Consider the vectors -D-D-E-D 2 U3 = -3 -2 u₁ -2 (a) U2 = 1 -2 U4 2 Which of the following vectors are in span {u₁,...,u4}? For each vector that is in the span, exhibit a linear combination of u₁,...,u4 that equals this vector. 1 -[#]· •-E] «-[0] X = 2 (b) y = (c) Z= 5 -1 -4 -2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 11EQ
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Exercise 5.1.1 Consider the vectors
u₁
-2
U2 =
2
-2
2
U3 =
1
-3
-2
U4
2
Which of the following vectors are in span {u₁,...,u4}? For each vector that is in the span, exhibit a linear
combination of u₁,...,u4 that equals this vector.
1
(a)
-H --B --H
X =
2
(b) y =
(c) z=
5
-1
-4
-2
Transcribed Image Text:Exercise 5.1.1 Consider the vectors u₁ -2 U2 = 2 -2 2 U3 = 1 -3 -2 U4 2 Which of the following vectors are in span {u₁,...,u4}? For each vector that is in the span, exhibit a linear combination of u₁,...,u4 that equals this vector. 1 (a) -H --B --H X = 2 (b) y = (c) z= 5 -1 -4 -2
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