Consider the following statement: If V1, V2, V3, V4 are vectors in IR such that no vector v; is a scalar multiple of one of the other three vectors, then the set {V₁, V2, V3, V4} is linearly independent. The statement is (type out "true" or "false") false If you think the statement is true, then find an example that illustrates the truth of the statement. If you think the statement is false, hen find a specific example that shows the statement is incorrect. Enter your example vectors as the columns of the matrix below. [V₁ V₂ V3 V4] = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0
Consider the following statement: If V1, V2, V3, V4 are vectors in IR such that no vector v; is a scalar multiple of one of the other three vectors, then the set {V₁, V2, V3, V4} is linearly independent. The statement is (type out "true" or "false") false If you think the statement is true, then find an example that illustrates the truth of the statement. If you think the statement is false, hen find a specific example that shows the statement is incorrect. Enter your example vectors as the columns of the matrix below. [V₁ V₂ V3 V4] = 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0
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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Question
![Consider the following statement:
If V1, V2, V3, V4 are vectors in IR such that no vector v; is a scalar multiple of one of the other three vectors, then the set {V₁, V2, V3, V4} is linearly independent.
The statement is (type out "true" or "false") false
If you think the statement is true, then find an example that illustrates the truth of the statement. If you think the statement is false,
hen find a specific example that shows the statement is incorrect. Enter your example vectors as the columns of the matrix below.
[V₁ V₂ V3 V4] =
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3886e624-3ad7-4547-aeab-f36b3d1dd04a%2F62ac9122-7720-4067-a91f-5b4bc68a3d0d%2Fjw05ivx_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following statement:
If V1, V2, V3, V4 are vectors in IR such that no vector v; is a scalar multiple of one of the other three vectors, then the set {V₁, V2, V3, V4} is linearly independent.
The statement is (type out "true" or "false") false
If you think the statement is true, then find an example that illustrates the truth of the statement. If you think the statement is false,
hen find a specific example that shows the statement is incorrect. Enter your example vectors as the columns of the matrix below.
[V₁ V₂ V3 V4] =
1
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
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