4. In a set B of 3 vectors each with 3 components, one of them is a linear combination of the other two. So B is a base of R3. Answer: true to false? DO NOT answer "true or false", as in the previous exercises, the answer must be accompanied by the corresponding argument. The answer will be valid, ONLY if the argument is CORRECT. The TECHNICAL language of the subject must be used.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 20EQ
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True & False. Kindly explain also.

4. In a set B of 3 vectors each with 3 components, one of them is a linear
combination of the other two. So B is a base of R3. Answer: true to false? DO NOT answer
"true or false", as in the previous exercises, the answer must be
accompanied by the corresponding argument. The answer will be valid, ONLY
if the argument is CORRECT. The TECHNICAL language of the
subject must be used.
Transcribed Image Text:4. In a set B of 3 vectors each with 3 components, one of them is a linear combination of the other two. So B is a base of R3. Answer: true to false? DO NOT answer "true or false", as in the previous exercises, the answer must be accompanied by the corresponding argument. The answer will be valid, ONLY if the argument is CORRECT. The TECHNICAL language of the subject must be used.
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