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For this entire problem set, consider the vectors #₁ = 1. Which of these vectors is in the span of ₁, ₂, 3? Justify your answers. -B (a) 2433 -0-0--0 and 3 = ~B (b) 2134

For this entire problem set, consider the vectors #₁ = 1. Which of these vectors is in the span of ₁, ₂, 3? Justify your answers. -B (a) 2433 -0-0--0 and 3 = ~B (b) 2134

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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-0---0 = 1. Which of these vectors is in the span of ₁, 2, 3? Justify your answers. For this entire problem set, consider the vectors #₁ = (a) -B (b) B -B (c) 2. (a) Describe the span of ₁, 2, 3 as a set of points in R³. (b) Is the span all of R³? 3. (a) Show that ws is in the span of ₁, ₂. and 3 = (b) Suppose 6 = 2w1 + ₂-33. Without calculating 6, show that b is in the span of w₁, 02. (c) Now calculate b using the given linear combination and using the linear combination you found. You should get the same vector.
Transcribed Image Text:-0---0 = 1. Which of these vectors is in the span of ₁, 2, 3? Justify your answers. For this entire problem set, consider the vectors #₁ = (a) -B (b) B -B (c) 2. (a) Describe the span of ₁, 2, 3 as a set of points in R³. (b) Is the span all of R³? 3. (a) Show that ws is in the span of ₁, ₂. and 3 = (b) Suppose 6 = 2w1 + ₂-33. Without calculating 6, show that b is in the span of w₁, 02. (c) Now calculate b using the given linear combination and using the linear combination you found. You should get the same vector.
Expert Solution
Step 1

Given that

The vectors are

w1=100w2=011w3=111

 

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