Consider the following vectors in R³: Give examples of vectors V1 Enter the vector w in the form [C₁, C2, C3]: 4 = [3] 13 5 B W2 and z = W3 satisfying the following conditions: • All entries of W and Z are non-zero integers. • The vector w is not equal to V₁, V₂,V3 and w E Span(V₁, V₂,V3). • z & Span(V₁, V2,V3). Enter the vector Z in the form [C₁, C2, C3]: W = V3 = Z₁ Z2 Z3 [ 12 3 18

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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Consider the following vectors in R³:
Give examples of vectors
V1
Enter the vector w in the form [C₁, C2, C3]:
4
=
[3] 13
5
B
W2 and z =
W3
satisfying the following conditions:
• All entries of W and Z are non-zero integers.
• The vector w is not equal to V₁, V₂,V3 and w E Span(V₁, V₂,V3).
• z & Span(V₁, V2,V3).
Enter the vector Z in the form [C₁, C2, C3]:
W =
V3 =
Z₁
Z2
Z3
[
12
3
18
Transcribed Image Text:Consider the following vectors in R³: Give examples of vectors V1 Enter the vector w in the form [C₁, C2, C3]: 4 = [3] 13 5 B W2 and z = W3 satisfying the following conditions: • All entries of W and Z are non-zero integers. • The vector w is not equal to V₁, V₂,V3 and w E Span(V₁, V₂,V3). • z & Span(V₁, V2,V3). Enter the vector Z in the form [C₁, C2, C3]: W = V3 = Z₁ Z2 Z3 [ 12 3 18
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