Let 1, 2, and 3 be three vectors in R². Determine which of the following statements are true. (1) One of these three vectors must be a linear combination of the other two. (2) The zero vector of R² is a linear combination of 1, 2, and 3. Only (1) Only (2) Both of them None of them W

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let 1, 2, and 3 be three vectors in R². Determine which of the following statements are true.
(1) One of these three vectors must be a linear combination of the other two.
(2) The zero vector of R² is a linear combination of 1, 2, and 3.
Only (1)
Only (2)
Both of them
None of them
W
Transcribed Image Text:Let 1, 2, and 3 be three vectors in R². Determine which of the following statements are true. (1) One of these three vectors must be a linear combination of the other two. (2) The zero vector of R² is a linear combination of 1, 2, and 3. Only (1) Only (2) Both of them None of them W
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