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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

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

Advanced Engineering Mathematics
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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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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